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Finding the Third Proportional to 233,940 and 506,757

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Solution

The third proportional to 233,940 and 506,757 is: 1,097,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,940 : 506,757 = 506,757 : x
  2. Step 2: Convert to fraction form
    233,940/506,757 = 506,757/x
  3. Step 3: Cross multiply
    233,940x = 506,757 × 506,757
  4. Step 4: Simplify right side
    233,940x = 256,802,657,049
  5. Step 5: Solve for x
    x = 256,802,657,049/233,940
  6. Step 6: Final answer
    x = 1,097,728.72

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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.