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Finding the Third Proportional to 425,745 and 654,597

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Solution

The third proportional to 425,745 and 654,597 is: 1,006,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,745 : 654,597 = 654,597 : x
  2. Step 2: Convert to fraction form
    425,745/654,597 = 654,597/x
  3. Step 3: Cross multiply
    425,745x = 654,597 × 654,597
  4. Step 4: Simplify right side
    425,745x = 428,497,232,409
  5. Step 5: Solve for x
    x = 428,497,232,409/425,745
  6. Step 6: Final answer
    x = 1,006,464.51

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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.