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Finding the Third Proportional to 398,091 and 616,414.50

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Solution

The third proportional to 398,091 and 616,414.50 is: 954,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,091 : 616,414.50 = 616,414.50 : x
  2. Step 2: Convert to fraction form
    398,091/616,414.50 = 616,414.50/x
  3. Step 3: Cross multiply
    398,091x = 616,414.50 × 616,414.50
  4. Step 4: Simplify right side
    398,091x = 379,966,835,810.25
  5. Step 5: Solve for x
    x = 379,966,835,810.25/398,091
  6. Step 6: Final answer
    x = 954,472.31

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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.