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Finding the Third Proportional to 333,132.75 and 474,781.50

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Solution

The third proportional to 333,132.75 and 474,781.50 is: 676,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,132.75 : 474,781.50 = 474,781.50 : x
  2. Step 2: Convert to fraction form
    333,132.75/474,781.50 = 474,781.50/x
  3. Step 3: Cross multiply
    333,132.75x = 474,781.50 × 474,781.50
  4. Step 4: Simplify right side
    333,132.75x = 225,417,472,742.25
  5. Step 5: Solve for x
    x = 225,417,472,742.25/333,132.75
  6. Step 6: Final answer
    x = 676,659.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.