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Finding the Third Proportional to 331,686.75 and 526,053.75

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Solution

The third proportional to 331,686.75 and 526,053.75 is: 834,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,686.75 : 526,053.75 = 526,053.75 : x
  2. Step 2: Convert to fraction form
    331,686.75/526,053.75 = 526,053.75/x
  3. Step 3: Cross multiply
    331,686.75x = 526,053.75 × 526,053.75
  4. Step 4: Simplify right side
    331,686.75x = 276,732,547,889.06
  5. Step 5: Solve for x
    x = 276,732,547,889.06/331,686.75
  6. Step 6: Final answer
    x = 834,318.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.