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Finding the Third Proportional to 243,982.13 and 528,697.13

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Solution

The third proportional to 243,982.13 and 528,697.13 is: 1,145,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,982.13 : 528,697.13 = 528,697.13 : x
  2. Step 2: Convert to fraction form
    243,982.13/528,697.13 = 528,697.13/x
  3. Step 3: Cross multiply
    243,982.13x = 528,697.13 × 528,697.13
  4. Step 4: Simplify right side
    243,982.13x = 279,520,649,983.27
  5. Step 5: Solve for x
    x = 279,520,649,983.27/243,982.13
  6. Step 6: Final answer
    x = 1,145,660.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.