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Finding the Third Proportional to 232,830 and 502,758

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Solution

The third proportional to 232,830 and 502,758 is: 1,085,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,830 : 502,758 = 502,758 : x
  2. Step 2: Convert to fraction form
    232,830/502,758 = 502,758/x
  3. Step 3: Cross multiply
    232,830x = 502,758 × 502,758
  4. Step 4: Simplify right side
    232,830x = 252,765,606,564
  5. Step 5: Solve for x
    x = 252,765,606,564/232,830
  6. Step 6: Final answer
    x = 1,085,623.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.