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Finding the Third Proportional to 232,095 and 501,882

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Solution

The third proportional to 232,095 and 501,882 is: 1,085,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,095 : 501,882 = 501,882 : x
  2. Step 2: Convert to fraction form
    232,095/501,882 = 501,882/x
  3. Step 3: Cross multiply
    232,095x = 501,882 × 501,882
  4. Step 4: Simplify right side
    232,095x = 251,885,541,924
  5. Step 5: Solve for x
    x = 251,885,541,924/232,095
  6. Step 6: Final answer
    x = 1,085,269.14

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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.