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Finding the Third Proportional to 338,572 and 728,120

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Solution

The third proportional to 338,572 and 728,120 is: 1,565,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,572 : 728,120 = 728,120 : x
  2. Step 2: Convert to fraction form
    338,572/728,120 = 728,120/x
  3. Step 3: Cross multiply
    338,572x = 728,120 × 728,120
  4. Step 4: Simplify right side
    338,572x = 530,158,734,400
  5. Step 5: Solve for x
    x = 530,158,734,400/338,572
  6. Step 6: Final answer
    x = 1,565,867.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.