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Finding the Third Proportional to 348,929.25 and 766,672.50

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Solution

The third proportional to 348,929.25 and 766,672.50 is: 1,684,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,929.25 : 766,672.50 = 766,672.50 : x
  2. Step 2: Convert to fraction form
    348,929.25/766,672.50 = 766,672.50/x
  3. Step 3: Cross multiply
    348,929.25x = 766,672.50 × 766,672.50
  4. Step 4: Simplify right side
    348,929.25x = 587,786,722,256.25
  5. Step 5: Solve for x
    x = 587,786,722,256.25/348,929.25
  6. Step 6: Final answer
    x = 1,684,544.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.