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Finding the Third Proportional to 404,127 and 627,520.50

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Solution

The third proportional to 404,127 and 627,520.50 is: 974,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,127 : 627,520.50 = 627,520.50 : x
  2. Step 2: Convert to fraction form
    404,127/627,520.50 = 627,520.50/x
  3. Step 3: Cross multiply
    404,127x = 627,520.50 × 627,520.50
  4. Step 4: Simplify right side
    404,127x = 393,781,977,920.25
  5. Step 5: Solve for x
    x = 393,781,977,920.25/404,127
  6. Step 6: Final answer
    x = 974,401.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.