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Finding the Third Proportional to 363,553 and 777,650

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Solution

The third proportional to 363,553 and 777,650 is: 1,663,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,553 : 777,650 = 777,650 : x
  2. Step 2: Convert to fraction form
    363,553/777,650 = 777,650/x
  3. Step 3: Cross multiply
    363,553x = 777,650 × 777,650
  4. Step 4: Simplify right side
    363,553x = 604,739,522,500
  5. Step 5: Solve for x
    x = 604,739,522,500/363,553
  6. Step 6: Final answer
    x = 1,663,415.02

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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.