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Finding the Third Proportional to 331,905 and 502,875

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Solution

The third proportional to 331,905 and 502,875 is: 761,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,905 : 502,875 = 502,875 : x
  2. Step 2: Convert to fraction form
    331,905/502,875 = 502,875/x
  3. Step 3: Cross multiply
    331,905x = 502,875 × 502,875
  4. Step 4: Simplify right side
    331,905x = 252,883,265,625
  5. Step 5: Solve for x
    x = 252,883,265,625/331,905
  6. Step 6: Final answer
    x = 761,914.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.