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Finding the Third Proportional to 453,048.75 and 679,529.25

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Solution

The third proportional to 453,048.75 and 679,529.25 is: 1,019,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,048.75 : 679,529.25 = 679,529.25 : x
  2. Step 2: Convert to fraction form
    453,048.75/679,529.25 = 679,529.25/x
  3. Step 3: Cross multiply
    453,048.75x = 679,529.25 × 679,529.25
  4. Step 4: Simplify right side
    453,048.75x = 461,760,001,605.56
  5. Step 5: Solve for x
    x = 461,760,001,605.56/453,048.75
  6. Step 6: Final answer
    x = 1,019,228.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.