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Finding the Third Proportional to 363,150 and 531,540

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Solution

The third proportional to 363,150 and 531,540 is: 778,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,150 : 531,540 = 531,540 : x
  2. Step 2: Convert to fraction form
    363,150/531,540 = 531,540/x
  3. Step 3: Cross multiply
    363,150x = 531,540 × 531,540
  4. Step 4: Simplify right side
    363,150x = 282,534,771,600
  5. Step 5: Solve for x
    x = 282,534,771,600/363,150
  6. Step 6: Final answer
    x = 778,011.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.