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Finding the Third Proportional to 316,109.25 and 484,724.25

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Solution

The third proportional to 316,109.25 and 484,724.25 is: 743,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,109.25 : 484,724.25 = 484,724.25 : x
  2. Step 2: Convert to fraction form
    316,109.25/484,724.25 = 484,724.25/x
  3. Step 3: Cross multiply
    316,109.25x = 484,724.25 × 484,724.25
  4. Step 4: Simplify right side
    316,109.25x = 234,957,598,538.06
  5. Step 5: Solve for x
    x = 234,957,598,538.06/316,109.25
  6. Step 6: Final answer
    x = 743,279.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.