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Finding the Third Proportional to 424,774.13 and 617,101.88

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Solution

The third proportional to 424,774.13 and 617,101.88 is: 896,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,774.13 : 617,101.88 = 617,101.88 : x
  2. Step 2: Convert to fraction form
    424,774.13/617,101.88 = 617,101.88/x
  3. Step 3: Cross multiply
    424,774.13x = 617,101.88 × 617,101.88
  4. Step 4: Simplify right side
    424,774.13x = 380,814,724,128.52
  5. Step 5: Solve for x
    x = 380,814,724,128.52/424,774.13
  6. Step 6: Final answer
    x = 896,511.11

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.