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Finding the Third Proportional to 526,206.38 and 847,447.31

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Solution

The third proportional to 526,206.38 and 847,447.31 is: 1,364,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,206.38 : 847,447.31 = 847,447.31 : x
  2. Step 2: Convert to fraction form
    526,206.38/847,447.31 = 847,447.31/x
  3. Step 3: Cross multiply
    526,206.38x = 847,447.31 × 847,447.31
  4. Step 4: Simplify right side
    526,206.38x = 718,166,947,463.47
  5. Step 5: Solve for x
    x = 718,166,947,463.47/526,206.38
  6. Step 6: Final answer
    x = 1,364,800.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.