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Finding the Third Proportional to 516,000.75 and 758,834.25

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Solution

The third proportional to 516,000.75 and 758,834.25 is: 1,115,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,000.75 : 758,834.25 = 758,834.25 : x
  2. Step 2: Convert to fraction form
    516,000.75/758,834.25 = 758,834.25/x
  3. Step 3: Cross multiply
    516,000.75x = 758,834.25 × 758,834.25
  4. Step 4: Simplify right side
    516,000.75x = 575,829,418,973.06
  5. Step 5: Solve for x
    x = 575,829,418,973.06/516,000.75
  6. Step 6: Final answer
    x = 1,115,946.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.