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Finding the Third Proportional to 452,367 and 700,721

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Solution

The third proportional to 452,367 and 700,721 is: 1,085,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,367 : 700,721 = 700,721 : x
  2. Step 2: Convert to fraction form
    452,367/700,721 = 700,721/x
  3. Step 3: Cross multiply
    452,367x = 700,721 × 700,721
  4. Step 4: Simplify right side
    452,367x = 491,009,919,841
  5. Step 5: Solve for x
    x = 491,009,919,841/452,367
  6. Step 6: Final answer
    x = 1,085,423.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.