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Finding the Third Proportional to 375,760.13 and 788,446.13

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Solution

The third proportional to 375,760.13 and 788,446.13 is: 1,654,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,760.13 : 788,446.13 = 788,446.13 : x
  2. Step 2: Convert to fraction form
    375,760.13/788,446.13 = 788,446.13/x
  3. Step 3: Cross multiply
    375,760.13x = 788,446.13 × 788,446.13
  4. Step 4: Simplify right side
    375,760.13x = 621,647,292,027.52
  5. Step 5: Solve for x
    x = 621,647,292,027.52/375,760.13
  6. Step 6: Final answer
    x = 1,654,372.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.