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Finding the Third Proportional to 331,758.28 and 725,612.34

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Solution

The third proportional to 331,758.28 and 725,612.34 is: 1,587,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,758.28 : 725,612.34 = 725,612.34 : x
  2. Step 2: Convert to fraction form
    331,758.28/725,612.34 = 725,612.34/x
  3. Step 3: Cross multiply
    331,758.28x = 725,612.34 × 725,612.34
  4. Step 4: Simplify right side
    331,758.28x = 526,513,273,402.37
  5. Step 5: Solve for x
    x = 526,513,273,402.37/331,758.28
  6. Step 6: Final answer
    x = 1,587,038.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.