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Finding the Third Proportional to 409,387.50 and 888,354

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Solution

The third proportional to 409,387.50 and 888,354 is: 1,927,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,387.50 : 888,354 = 888,354 : x
  2. Step 2: Convert to fraction form
    409,387.50/888,354 = 888,354/x
  3. Step 3: Cross multiply
    409,387.50x = 888,354 × 888,354
  4. Step 4: Simplify right side
    409,387.50x = 789,172,829,316
  5. Step 5: Solve for x
    x = 789,172,829,316/409,387.50
  6. Step 6: Final answer
    x = 1,927,691.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.