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Finding the Third Proportional to 679,347 and 952,177.50

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Solution

The third proportional to 679,347 and 952,177.50 is: 1,334,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,347 : 952,177.50 = 952,177.50 : x
  2. Step 2: Convert to fraction form
    679,347/952,177.50 = 952,177.50/x
  3. Step 3: Cross multiply
    679,347x = 952,177.50 × 952,177.50
  4. Step 4: Simplify right side
    679,347x = 906,641,991,506.25
  5. Step 5: Solve for x
    x = 906,641,991,506.25/679,347
  6. Step 6: Final answer
    x = 1,334,578.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.