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Finding the Third Proportional to 387,984 and 598,581

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Solution

The third proportional to 387,984 and 598,581 is: 923,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,984 : 598,581 = 598,581 : x
  2. Step 2: Convert to fraction form
    387,984/598,581 = 598,581/x
  3. Step 3: Cross multiply
    387,984x = 598,581 × 598,581
  4. Step 4: Simplify right side
    387,984x = 358,299,213,561
  5. Step 5: Solve for x
    x = 358,299,213,561/387,984
  6. Step 6: Final answer
    x = 923,489.66

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