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Finding the Third Proportional to 515,180.25 and 757,873.13

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Solution

The third proportional to 515,180.25 and 757,873.13 is: 1,114,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,180.25 : 757,873.13 = 757,873.13 : x
  2. Step 2: Convert to fraction form
    515,180.25/757,873.13 = 757,873.13/x
  3. Step 3: Cross multiply
    515,180.25x = 757,873.13 × 757,873.13
  4. Step 4: Simplify right side
    515,180.25x = 574,371,673,597.27
  5. Step 5: Solve for x
    x = 574,371,673,597.27/515,180.25
  6. Step 6: Final answer
    x = 1,114,894.59

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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.