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Finding the Third Proportional to 215,301.38 and 502,881.75

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Solution

The third proportional to 215,301.38 and 502,881.75 is: 1,174,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,301.38 : 502,881.75 = 502,881.75 : x
  2. Step 2: Convert to fraction form
    215,301.38/502,881.75 = 502,881.75/x
  3. Step 3: Cross multiply
    215,301.38x = 502,881.75 × 502,881.75
  4. Step 4: Simplify right side
    215,301.38x = 252,890,054,483.06
  5. Step 5: Solve for x
    x = 252,890,054,483.06/215,301.38
  6. Step 6: Final answer
    x = 1,174,586.34

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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.