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Finding the Third Proportional to 438,098 and 676,492

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Solution

The third proportional to 438,098 and 676,492 is: 1,044,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,098 : 676,492 = 676,492 : x
  2. Step 2: Convert to fraction form
    438,098/676,492 = 676,492/x
  3. Step 3: Cross multiply
    438,098x = 676,492 × 676,492
  4. Step 4: Simplify right side
    438,098x = 457,641,426,064
  5. Step 5: Solve for x
    x = 457,641,426,064/438,098
  6. Step 6: Final answer
    x = 1,044,609.71

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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.