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Finding the Third Proportional to 347,811.75 and 553,277.25

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Solution

The third proportional to 347,811.75 and 553,277.25 is: 880,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,811.75 : 553,277.25 = 553,277.25 : x
  2. Step 2: Convert to fraction form
    347,811.75/553,277.25 = 553,277.25/x
  3. Step 3: Cross multiply
    347,811.75x = 553,277.25 × 553,277.25
  4. Step 4: Simplify right side
    347,811.75x = 306,115,715,367.56
  5. Step 5: Solve for x
    x = 306,115,715,367.56/347,811.75
  6. Step 6: Final answer
    x = 880,118.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.