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Finding the Third Proportional to 308,871 and 676,791

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Solution

The third proportional to 308,871 and 676,791 is: 1,482,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,871 : 676,791 = 676,791 : x
  2. Step 2: Convert to fraction form
    308,871/676,791 = 676,791/x
  3. Step 3: Cross multiply
    308,871x = 676,791 × 676,791
  4. Step 4: Simplify right side
    308,871x = 458,046,057,681
  5. Step 5: Solve for x
    x = 458,046,057,681/308,871
  6. Step 6: Final answer
    x = 1,482,968.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.