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Finding the Third Proportional to 350,412.75 and 527,968.13

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Solution

The third proportional to 350,412.75 and 527,968.13 is: 795,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,412.75 : 527,968.13 = 527,968.13 : x
  2. Step 2: Convert to fraction form
    350,412.75/527,968.13 = 527,968.13/x
  3. Step 3: Cross multiply
    350,412.75x = 527,968.13 × 527,968.13
  4. Step 4: Simplify right side
    350,412.75x = 278,750,341,016.02
  5. Step 5: Solve for x
    x = 278,750,341,016.02/350,412.75
  6. Step 6: Final answer
    x = 795,491.43

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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.