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Finding the Third Proportional to 233,605 and 502,747

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Solution

The third proportional to 233,605 and 502,747 is: 1,081,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,605 : 502,747 = 502,747 : x
  2. Step 2: Convert to fraction form
    233,605/502,747 = 502,747/x
  3. Step 3: Cross multiply
    233,605x = 502,747 × 502,747
  4. Step 4: Simplify right side
    233,605x = 252,754,546,009
  5. Step 5: Solve for x
    x = 252,754,546,009/233,605
  6. Step 6: Final answer
    x = 1,081,974.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.