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Finding the Third Proportional to 331,788.02 and 725,670.14

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Solution

The third proportional to 331,788.02 and 725,670.14 is: 1,587,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,788.02 : 725,670.14 = 725,670.14 : x
  2. Step 2: Convert to fraction form
    331,788.02/725,670.14 = 725,670.14/x
  3. Step 3: Cross multiply
    331,788.02x = 725,670.14 × 725,670.14
  4. Step 4: Simplify right side
    331,788.02x = 526,597,152,994.71
  5. Step 5: Solve for x
    x = 526,597,152,994.71/331,788.02
  6. Step 6: Final answer
    x = 1,587,149.37

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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.