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Finding the Third Proportional to 340,564.50 and 730,027.69

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Solution

The third proportional to 340,564.50 and 730,027.69 is: 1,564,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,564.50 : 730,027.69 = 730,027.69 : x
  2. Step 2: Convert to fraction form
    340,564.50/730,027.69 = 730,027.69/x
  3. Step 3: Cross multiply
    340,564.50x = 730,027.69 × 730,027.69
  4. Step 4: Simplify right side
    340,564.50x = 532,940,424,516.60
  5. Step 5: Solve for x
    x = 532,940,424,516.60/340,564.50
  6. Step 6: Final answer
    x = 1,564,873.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.