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Finding the Third Proportional to 232,727 and 506,926

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Solution

The third proportional to 232,727 and 506,926 is: 1,104,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,727 : 506,926 = 506,926 : x
  2. Step 2: Convert to fraction form
    232,727/506,926 = 506,926/x
  3. Step 3: Cross multiply
    232,727x = 506,926 × 506,926
  4. Step 4: Simplify right side
    232,727x = 256,973,969,476
  5. Step 5: Solve for x
    x = 256,973,969,476/232,727
  6. Step 6: Final answer
    x = 1,104,186.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.