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Finding the Third Proportional to 232,971 and 502,642

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Solution

The third proportional to 232,971 and 502,642 is: 1,084,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,971 : 502,642 = 502,642 : x
  2. Step 2: Convert to fraction form
    232,971/502,642 = 502,642/x
  3. Step 3: Cross multiply
    232,971x = 502,642 × 502,642
  4. Step 4: Simplify right side
    232,971x = 252,648,980,164
  5. Step 5: Solve for x
    x = 252,648,980,164/232,971
  6. Step 6: Final answer
    x = 1,084,465.36

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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.