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Finding the Third Proportional to 350,979.33 and 758,000.53

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Solution

The third proportional to 350,979.33 and 758,000.53 is: 1,637,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,979.33 : 758,000.53 = 758,000.53 : x
  2. Step 2: Convert to fraction form
    350,979.33/758,000.53 = 758,000.53/x
  3. Step 3: Cross multiply
    350,979.33x = 758,000.53 × 758,000.53
  4. Step 4: Simplify right side
    350,979.33x = 574,564,805,375.28
  5. Step 5: Solve for x
    x = 574,564,805,375.28/350,979.33
  6. Step 6: Final answer
    x = 1,637,033.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.