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Finding the Third Proportional to 215,304 and 502,887

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Solution

The third proportional to 215,304 and 502,887 is: 1,174,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,304 : 502,887 = 502,887 : x
  2. Step 2: Convert to fraction form
    215,304/502,887 = 502,887/x
  3. Step 3: Cross multiply
    215,304x = 502,887 × 502,887
  4. Step 4: Simplify right side
    215,304x = 252,895,334,769
  5. Step 5: Solve for x
    x = 252,895,334,769/215,304
  6. Step 6: Final answer
    x = 1,174,596.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.