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Finding the Third Proportional to 484,324 and 755,920

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Solution

The third proportional to 484,324 and 755,920 is: 1,179,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,324 : 755,920 = 755,920 : x
  2. Step 2: Convert to fraction form
    484,324/755,920 = 755,920/x
  3. Step 3: Cross multiply
    484,324x = 755,920 × 755,920
  4. Step 4: Simplify right side
    484,324x = 571,415,046,400
  5. Step 5: Solve for x
    x = 571,415,046,400/484,324
  6. Step 6: Final answer
    x = 1,179,819.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.