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Finding the Third Proportional to 652,272.75 and 953,380.13

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Solution

The third proportional to 652,272.75 and 953,380.13 is: 1,393,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,272.75 : 953,380.13 = 953,380.13 : x
  2. Step 2: Convert to fraction form
    652,272.75/953,380.13 = 953,380.13/x
  3. Step 3: Cross multiply
    652,272.75x = 953,380.13 × 953,380.13
  4. Step 4: Simplify right side
    652,272.75x = 908,933,662,745.02
  5. Step 5: Solve for x
    x = 908,933,662,745.02/652,272.75
  6. Step 6: Final answer
    x = 1,393,487.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.