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Finding the Third Proportional to 652,321.13 and 987,504.75

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Solution

The third proportional to 652,321.13 and 987,504.75 is: 1,494,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,321.13 : 987,504.75 = 987,504.75 : x
  2. Step 2: Convert to fraction form
    652,321.13/987,504.75 = 987,504.75/x
  3. Step 3: Cross multiply
    652,321.13x = 987,504.75 × 987,504.75
  4. Step 4: Simplify right side
    652,321.13x = 975,165,631,272.56
  5. Step 5: Solve for x
    x = 975,165,631,272.56/652,321.13
  6. Step 6: Final answer
    x = 1,494,916.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.