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Finding the Third Proportional to 466,962.75 and 700,446.38

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Solution

The third proportional to 466,962.75 and 700,446.38 is: 1,050,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,962.75 : 700,446.38 = 700,446.38 : x
  2. Step 2: Convert to fraction form
    466,962.75/700,446.38 = 700,446.38/x
  3. Step 3: Cross multiply
    466,962.75x = 700,446.38 × 700,446.38
  4. Step 4: Simplify right side
    466,962.75x = 490,625,124,250.64
  5. Step 5: Solve for x
    x = 490,625,124,250.64/466,962.75
  6. Step 6: Final answer
    x = 1,050,672.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.