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Finding the Third Proportional to 466,451.55 and 997,748.03

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Solution

The third proportional to 466,451.55 and 997,748.03 is: 2,134,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,451.55 : 997,748.03 = 997,748.03 : x
  2. Step 2: Convert to fraction form
    466,451.55/997,748.03 = 997,748.03/x
  3. Step 3: Cross multiply
    466,451.55x = 997,748.03 × 997,748.03
  4. Step 4: Simplify right side
    466,451.55x = 995,501,137,760.65
  5. Step 5: Solve for x
    x = 995,501,137,760.65/466,451.55
  6. Step 6: Final answer
    x = 2,134,200.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.