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Finding the Third Proportional to 488,169 and 755,808

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Solution

The third proportional to 488,169 and 755,808 is: 1,170,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,169 : 755,808 = 755,808 : x
  2. Step 2: Convert to fraction form
    488,169/755,808 = 755,808/x
  3. Step 3: Cross multiply
    488,169x = 755,808 × 755,808
  4. Step 4: Simplify right side
    488,169x = 571,245,732,864
  5. Step 5: Solve for x
    x = 571,245,732,864/488,169
  6. Step 6: Final answer
    x = 1,170,180.27

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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.