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Finding the Third Proportional to 331,300.13 and 516,633.19

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Solution

The third proportional to 331,300.13 and 516,633.19 is: 805,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,300.13 : 516,633.19 = 516,633.19 : x
  2. Step 2: Convert to fraction form
    331,300.13/516,633.19 = 516,633.19/x
  3. Step 3: Cross multiply
    331,300.13x = 516,633.19 × 516,633.19
  4. Step 4: Simplify right side
    331,300.13x = 266,909,850,426.41
  5. Step 5: Solve for x
    x = 266,909,850,426.41/331,300.13
  6. Step 6: Final answer
    x = 805,643.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.