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Finding the Third Proportional to 348,701.20 and 469,191.23

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Solution

The third proportional to 348,701.20 and 469,191.23 is: 631,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,701.20 : 469,191.23 = 469,191.23 : x
  2. Step 2: Convert to fraction form
    348,701.20/469,191.23 = 469,191.23/x
  3. Step 3: Cross multiply
    348,701.20x = 469,191.23 × 469,191.23
  4. Step 4: Simplify right side
    348,701.20x = 220,140,414,414.34
  5. Step 5: Solve for x
    x = 220,140,414,414.34/348,701.20
  6. Step 6: Final answer
    x = 631,315.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.