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Finding the Third Proportional to 363,533 and 777,610

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Solution

The third proportional to 363,533 and 777,610 is: 1,663,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,533 : 777,610 = 777,610 : x
  2. Step 2: Convert to fraction form
    363,533/777,610 = 777,610/x
  3. Step 3: Cross multiply
    363,533x = 777,610 × 777,610
  4. Step 4: Simplify right side
    363,533x = 604,677,312,100
  5. Step 5: Solve for x
    x = 604,677,312,100/363,533
  6. Step 6: Final answer
    x = 1,663,335.41

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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.