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Finding the Third Proportional to 402,777.56 and 868,590.84

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Solution

The third proportional to 402,777.56 and 868,590.84 is: 1,873,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,777.56 : 868,590.84 = 868,590.84 : x
  2. Step 2: Convert to fraction form
    402,777.56/868,590.84 = 868,590.84/x
  3. Step 3: Cross multiply
    402,777.56x = 868,590.84 × 868,590.84
  4. Step 4: Simplify right side
    402,777.56x = 754,450,053,846.34
  5. Step 5: Solve for x
    x = 754,450,053,846.34/402,777.56
  6. Step 6: Final answer
    x = 1,873,118.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.