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Finding the Third Proportional to 215,299.31 and 502,876.50

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Solution

The third proportional to 215,299.31 and 502,876.50 is: 1,174,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,299.31 : 502,876.50 = 502,876.50 : x
  2. Step 2: Convert to fraction form
    215,299.31/502,876.50 = 502,876.50/x
  3. Step 3: Cross multiply
    215,299.31x = 502,876.50 × 502,876.50
  4. Step 4: Simplify right side
    215,299.31x = 252,884,774,252.25
  5. Step 5: Solve for x
    x = 252,884,774,252.25/215,299.31
  6. Step 6: Final answer
    x = 1,174,573.07

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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.