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Finding the Third Proportional to 576,560,280.75 and 861,062,267.25

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Solution

The third proportional to 576,560,280.75 and 861,062,267.25 is: 1,285,950,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,560,280.75 : 861,062,267.25 = 861,062,267.25 : x
  2. Step 2: Convert to fraction form
    576,560,280.75/861,062,267.25 = 861,062,267.25/x
  3. Step 3: Cross multiply
    576,560,280.75x = 861,062,267.25 × 861,062,267.25
  4. Step 4: Simplify right side
    576,560,280.75x = 741,428,228,081,710,464
  5. Step 5: Solve for x
    x = 741,428,228,081,710,464/576,560,280.75
  6. Step 6: Final answer
    x = 1,285,950,928.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.