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Finding the Third Proportional to 566,988 and 913,560

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Solution

The third proportional to 566,988 and 913,560 is: 1,471,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,988 : 913,560 = 913,560 : x
  2. Step 2: Convert to fraction form
    566,988/913,560 = 913,560/x
  3. Step 3: Cross multiply
    566,988x = 913,560 × 913,560
  4. Step 4: Simplify right side
    566,988x = 834,591,873,600
  5. Step 5: Solve for x
    x = 834,591,873,600/566,988
  6. Step 6: Final answer
    x = 1,471,974.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.