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Finding the Third Proportional to 316,750.50 and 490,871.25

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Solution

The third proportional to 316,750.50 and 490,871.25 is: 760,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,750.50 : 490,871.25 = 490,871.25 : x
  2. Step 2: Convert to fraction form
    316,750.50/490,871.25 = 490,871.25/x
  3. Step 3: Cross multiply
    316,750.50x = 490,871.25 × 490,871.25
  4. Step 4: Simplify right side
    316,750.50x = 240,954,584,076.56
  5. Step 5: Solve for x
    x = 240,954,584,076.56/316,750.50
  6. Step 6: Final answer
    x = 760,707.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.