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Finding the Third Proportional to 513,175.50 and 794,668.50

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Solution

The third proportional to 513,175.50 and 794,668.50 is: 1,230,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,175.50 : 794,668.50 = 794,668.50 : x
  2. Step 2: Convert to fraction form
    513,175.50/794,668.50 = 794,668.50/x
  3. Step 3: Cross multiply
    513,175.50x = 794,668.50 × 794,668.50
  4. Step 4: Simplify right side
    513,175.50x = 631,498,024,892.25
  5. Step 5: Solve for x
    x = 631,498,024,892.25/513,175.50
  6. Step 6: Final answer
    x = 1,230,569.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.