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Finding the Third Proportional to 350,987.25 and 513,318.38

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Solution

The third proportional to 350,987.25 and 513,318.38 is: 750,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,987.25 : 513,318.38 = 513,318.38 : x
  2. Step 2: Convert to fraction form
    350,987.25/513,318.38 = 513,318.38/x
  3. Step 3: Cross multiply
    350,987.25x = 513,318.38 × 513,318.38
  4. Step 4: Simplify right side
    350,987.25x = 263,495,754,112.64
  5. Step 5: Solve for x
    x = 263,495,754,112.64/350,987.25
  6. Step 6: Final answer
    x = 750,727.42

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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.