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Finding the Third Proportional to 358,760.25 and 761,251.50

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Solution

The third proportional to 358,760.25 and 761,251.50 is: 1,615,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,760.25 : 761,251.50 = 761,251.50 : x
  2. Step 2: Convert to fraction form
    358,760.25/761,251.50 = 761,251.50/x
  3. Step 3: Cross multiply
    358,760.25x = 761,251.50 × 761,251.50
  4. Step 4: Simplify right side
    358,760.25x = 579,503,846,252.25
  5. Step 5: Solve for x
    x = 579,503,846,252.25/358,760.25
  6. Step 6: Final answer
    x = 1,615,295.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.