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Finding the Third Proportional to 363,550 and 777,644

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Solution

The third proportional to 363,550 and 777,644 is: 1,663,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,550 : 777,644 = 777,644 : x
  2. Step 2: Convert to fraction form
    363,550/777,644 = 777,644/x
  3. Step 3: Cross multiply
    363,550x = 777,644 × 777,644
  4. Step 4: Simplify right side
    363,550x = 604,730,190,736
  5. Step 5: Solve for x
    x = 604,730,190,736/363,550
  6. Step 6: Final answer
    x = 1,663,403.08

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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.