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Finding the Third Proportional to 516,518.44 and 801,748.13

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Solution

The third proportional to 516,518.44 and 801,748.13 is: 1,244,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,518.44 : 801,748.13 = 801,748.13 : x
  2. Step 2: Convert to fraction form
    516,518.44/801,748.13 = 801,748.13/x
  3. Step 3: Cross multiply
    516,518.44x = 801,748.13 × 801,748.13
  4. Step 4: Simplify right side
    516,518.44x = 642,800,055,941.02
  5. Step 5: Solve for x
    x = 642,800,055,941.02/516,518.44
  6. Step 6: Final answer
    x = 1,244,486.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.