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Finding the Third Proportional to 526,468.50 and 769,958.25

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Solution

The third proportional to 526,468.50 and 769,958.25 is: 1,126,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,468.50 : 769,958.25 = 769,958.25 : x
  2. Step 2: Convert to fraction form
    526,468.50/769,958.25 = 769,958.25/x
  3. Step 3: Cross multiply
    526,468.50x = 769,958.25 × 769,958.25
  4. Step 4: Simplify right side
    526,468.50x = 592,835,706,743.06
  5. Step 5: Solve for x
    x = 592,835,706,743.06/526,468.50
  6. Step 6: Final answer
    x = 1,126,061.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.