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Finding the Third Proportional to 425,748 and 640,398

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Solution

The third proportional to 425,748 and 640,398 is: 963,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,748 : 640,398 = 640,398 : x
  2. Step 2: Convert to fraction form
    425,748/640,398 = 640,398/x
  3. Step 3: Cross multiply
    425,748x = 640,398 × 640,398
  4. Step 4: Simplify right side
    425,748x = 410,109,598,404
  5. Step 5: Solve for x
    x = 410,109,598,404/425,748
  6. Step 6: Final answer
    x = 963,268.41

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