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Finding the Third Proportional to 386,721.75 and 597,583.13

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Solution

The third proportional to 386,721.75 and 597,583.13 is: 923,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,721.75 : 597,583.13 = 597,583.13 : x
  2. Step 2: Convert to fraction form
    386,721.75/597,583.13 = 597,583.13/x
  3. Step 3: Cross multiply
    386,721.75x = 597,583.13 × 597,583.13
  4. Step 4: Simplify right side
    386,721.75x = 357,105,591,284.77
  5. Step 5: Solve for x
    x = 357,105,591,284.77/386,721.75
  6. Step 6: Final answer
    x = 923,417.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.