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Finding the Third Proportional to 526,479.75 and 769,975.88

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Solution

The third proportional to 526,479.75 and 769,975.88 is: 1,126,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,479.75 : 769,975.88 = 769,975.88 : x
  2. Step 2: Convert to fraction form
    526,479.75/769,975.88 = 769,975.88/x
  3. Step 3: Cross multiply
    526,479.75x = 769,975.88 × 769,975.88
  4. Step 4: Simplify right side
    526,479.75x = 592,862,848,082.02
  5. Step 5: Solve for x
    x = 592,862,848,082.02/526,479.75
  6. Step 6: Final answer
    x = 1,126,088.61

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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.