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Finding the Third Proportional to 356,627 and 485,731.50

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Solution

The third proportional to 356,627 and 485,731.50 is: 661,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,627 : 485,731.50 = 485,731.50 : x
  2. Step 2: Convert to fraction form
    356,627/485,731.50 = 485,731.50/x
  3. Step 3: Cross multiply
    356,627x = 485,731.50 × 485,731.50
  4. Step 4: Simplify right side
    356,627x = 235,935,090,092.25
  5. Step 5: Solve for x
    x = 235,935,090,092.25/356,627
  6. Step 6: Final answer
    x = 661,573.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.