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Finding the Third Proportional to 232,811 and 502,720

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Solution

The third proportional to 232,811 and 502,720 is: 1,085,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,811 : 502,720 = 502,720 : x
  2. Step 2: Convert to fraction form
    232,811/502,720 = 502,720/x
  3. Step 3: Cross multiply
    232,811x = 502,720 × 502,720
  4. Step 4: Simplify right side
    232,811x = 252,727,398,400
  5. Step 5: Solve for x
    x = 252,727,398,400/232,811
  6. Step 6: Final answer
    x = 1,085,547.50

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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.