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Finding the Third Proportional to 468,188 and 709,080

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Solution

The third proportional to 468,188 and 709,080 is: 1,073,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,188 : 709,080 = 709,080 : x
  2. Step 2: Convert to fraction form
    468,188/709,080 = 709,080/x
  3. Step 3: Cross multiply
    468,188x = 709,080 × 709,080
  4. Step 4: Simplify right side
    468,188x = 502,794,446,400
  5. Step 5: Solve for x
    x = 502,794,446,400/468,188
  6. Step 6: Final answer
    x = 1,073,915.71

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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.