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Finding the Third Proportional to 407,355.75 and 616,275

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Solution

The third proportional to 407,355.75 and 616,275 is: 932,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,355.75 : 616,275 = 616,275 : x
  2. Step 2: Convert to fraction form
    407,355.75/616,275 = 616,275/x
  3. Step 3: Cross multiply
    407,355.75x = 616,275 × 616,275
  4. Step 4: Simplify right side
    407,355.75x = 379,794,875,625
  5. Step 5: Solve for x
    x = 379,794,875,625/407,355.75
  6. Step 6: Final answer
    x = 932,342.00

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Why These Related Problems?

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