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Finding the Third Proportional to 376,549 and 587,053.50

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Solution

The third proportional to 376,549 and 587,053.50 is: 915,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,549 : 587,053.50 = 587,053.50 : x
  2. Step 2: Convert to fraction form
    376,549/587,053.50 = 587,053.50/x
  3. Step 3: Cross multiply
    376,549x = 587,053.50 × 587,053.50
  4. Step 4: Simplify right side
    376,549x = 344,631,811,862.25
  5. Step 5: Solve for x
    x = 344,631,811,862.25/376,549
  6. Step 6: Final answer
    x = 915,237.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.