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Finding the Third Proportional to 652,174.88 and 857,606.63

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Solution

The third proportional to 652,174.88 and 857,606.63 is: 1,127,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,174.88 : 857,606.63 = 857,606.63 : x
  2. Step 2: Convert to fraction form
    652,174.88/857,606.63 = 857,606.63/x
  3. Step 3: Cross multiply
    652,174.88x = 857,606.63 × 857,606.63
  4. Step 4: Simplify right side
    652,174.88x = 735,489,123,243.89
  5. Step 5: Solve for x
    x = 735,489,123,243.89/652,174.88
  6. Step 6: Final answer
    x = 1,127,748.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.