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Finding the Third Proportional to 424,655.25 and 643,164.75

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Solution

The third proportional to 424,655.25 and 643,164.75 is: 974,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,655.25 : 643,164.75 = 643,164.75 : x
  2. Step 2: Convert to fraction form
    424,655.25/643,164.75 = 643,164.75/x
  3. Step 3: Cross multiply
    424,655.25x = 643,164.75 × 643,164.75
  4. Step 4: Simplify right side
    424,655.25x = 413,660,895,642.56
  5. Step 5: Solve for x
    x = 413,660,895,642.56/424,655.25
  6. Step 6: Final answer
    x = 974,109.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.