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Finding the Third Proportional to 425,725 and 654,563

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Solution

The third proportional to 425,725 and 654,563 is: 1,006,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,725 : 654,563 = 654,563 : x
  2. Step 2: Convert to fraction form
    425,725/654,563 = 654,563/x
  3. Step 3: Cross multiply
    425,725x = 654,563 × 654,563
  4. Step 4: Simplify right side
    425,725x = 428,452,720,969
  5. Step 5: Solve for x
    x = 428,452,720,969/425,725
  6. Step 6: Final answer
    x = 1,006,407.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.