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Finding the Third Proportional to 291,281.06 and 452,059.73

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Solution

The third proportional to 291,281.06 and 452,059.73 is: 701,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,281.06 : 452,059.73 = 452,059.73 : x
  2. Step 2: Convert to fraction form
    291,281.06/452,059.73 = 452,059.73/x
  3. Step 3: Cross multiply
    291,281.06x = 452,059.73 × 452,059.73
  4. Step 4: Simplify right side
    291,281.06x = 204,358,003,443.20
  5. Step 5: Solve for x
    x = 204,358,003,443.20/291,281.06
  6. Step 6: Final answer
    x = 701,583.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.