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Finding the Third Proportional to 230,617.13 and 506,638.13

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Solution

The third proportional to 230,617.13 and 506,638.13 is: 1,113,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,617.13 : 506,638.13 = 506,638.13 : x
  2. Step 2: Convert to fraction form
    230,617.13/506,638.13 = 506,638.13/x
  3. Step 3: Cross multiply
    230,617.13x = 506,638.13 × 506,638.13
  4. Step 4: Simplify right side
    230,617.13x = 256,682,189,703.52
  5. Step 5: Solve for x
    x = 256,682,189,703.52/230,617.13
  6. Step 6: Final answer
    x = 1,113,023.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.