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Finding the Third Proportional to 334,972.88 and 730,074.75

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Solution

The third proportional to 334,972.88 and 730,074.75 is: 1,591,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,972.88 : 730,074.75 = 730,074.75 : x
  2. Step 2: Convert to fraction form
    334,972.88/730,074.75 = 730,074.75/x
  3. Step 3: Cross multiply
    334,972.88x = 730,074.75 × 730,074.75
  4. Step 4: Simplify right side
    334,972.88x = 533,009,140,587.56
  5. Step 5: Solve for x
    x = 533,009,140,587.56/334,972.88
  6. Step 6: Final answer
    x = 1,591,200.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.