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Finding the Third Proportional to 407,352 and 616,270.50

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Solution

The third proportional to 407,352 and 616,270.50 is: 932,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,352 : 616,270.50 = 616,270.50 : x
  2. Step 2: Convert to fraction form
    407,352/616,270.50 = 616,270.50/x
  3. Step 3: Cross multiply
    407,352x = 616,270.50 × 616,270.50
  4. Step 4: Simplify right side
    407,352x = 379,789,329,170.25
  5. Step 5: Solve for x
    x = 379,789,329,170.25/407,352
  6. Step 6: Final answer
    x = 932,336.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.