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Finding the Third Proportional to 267,634.13 and 390,772.48

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Solution

The third proportional to 267,634.13 and 390,772.48 is: 570,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,634.13 : 390,772.48 = 390,772.48 : x
  2. Step 2: Convert to fraction form
    267,634.13/390,772.48 = 390,772.48/x
  3. Step 3: Cross multiply
    267,634.13x = 390,772.48 × 390,772.48
  4. Step 4: Simplify right side
    267,634.13x = 152,703,128,438.79
  5. Step 5: Solve for x
    x = 152,703,128,438.79/267,634.13
  6. Step 6: Final answer
    x = 570,566.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.