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Finding the Third Proportional to 363,534 and 777,612

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Solution

The third proportional to 363,534 and 777,612 is: 1,663,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,534 : 777,612 = 777,612 : x
  2. Step 2: Convert to fraction form
    363,534/777,612 = 777,612/x
  3. Step 3: Cross multiply
    363,534x = 777,612 × 777,612
  4. Step 4: Simplify right side
    363,534x = 604,680,422,544
  5. Step 5: Solve for x
    x = 604,680,422,544/363,534
  6. Step 6: Final answer
    x = 1,663,339.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.