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Finding the Third Proportional to 364,042.13 and 569,829.38

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Solution

The third proportional to 364,042.13 and 569,829.38 is: 891,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,042.13 : 569,829.38 = 569,829.38 : x
  2. Step 2: Convert to fraction form
    364,042.13/569,829.38 = 569,829.38/x
  3. Step 3: Cross multiply
    364,042.13x = 569,829.38 × 569,829.38
  4. Step 4: Simplify right side
    364,042.13x = 324,705,516,612.89
  5. Step 5: Solve for x
    x = 324,705,516,612.89/364,042.13
  6. Step 6: Final answer
    x = 891,944.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.