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Finding the Third Proportional to 438,415 and 657,622

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Solution

The third proportional to 438,415 and 657,622 is: 986,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,415 : 657,622 = 657,622 : x
  2. Step 2: Convert to fraction form
    438,415/657,622 = 657,622/x
  3. Step 3: Cross multiply
    438,415x = 657,622 × 657,622
  4. Step 4: Simplify right side
    438,415x = 432,466,694,884
  5. Step 5: Solve for x
    x = 432,466,694,884/438,415
  6. Step 6: Final answer
    x = 986,432.25

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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.