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Finding the Third Proportional to 418,311 and 646,360.50

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Solution

The third proportional to 418,311 and 646,360.50 is: 998,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,311 : 646,360.50 = 646,360.50 : x
  2. Step 2: Convert to fraction form
    418,311/646,360.50 = 646,360.50/x
  3. Step 3: Cross multiply
    418,311x = 646,360.50 × 646,360.50
  4. Step 4: Simplify right side
    418,311x = 417,781,895,960.25
  5. Step 5: Solve for x
    x = 417,781,895,960.25/418,311
  6. Step 6: Final answer
    x = 998,735.14

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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.