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Finding the Third Proportional to 231,535.13 and 507,340.13

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Solution

The third proportional to 231,535.13 and 507,340.13 is: 1,111,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,535.13 : 507,340.13 = 507,340.13 : x
  2. Step 2: Convert to fraction form
    231,535.13/507,340.13 = 507,340.13/x
  3. Step 3: Cross multiply
    231,535.13x = 507,340.13 × 507,340.13
  4. Step 4: Simplify right side
    231,535.13x = 257,394,002,435.02
  5. Step 5: Solve for x
    x = 257,394,002,435.02/231,535.13
  6. Step 6: Final answer
    x = 1,111,684.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.