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Finding the Third Proportional to 314,958.80 and 484,765.59

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Solution

The third proportional to 314,958.80 and 484,765.59 is: 746,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,958.80 : 484,765.59 = 484,765.59 : x
  2. Step 2: Convert to fraction form
    314,958.80/484,765.59 = 484,765.59/x
  3. Step 3: Cross multiply
    314,958.80x = 484,765.59 × 484,765.59
  4. Step 4: Simplify right side
    314,958.80x = 234,997,680,883.79
  5. Step 5: Solve for x
    x = 234,997,680,883.79/314,958.80
  6. Step 6: Final answer
    x = 746,121.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.