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Finding the Third Proportional to 677,595.38 and 997,656.75

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Solution

The third proportional to 677,595.38 and 997,656.75 is: 1,468,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,595.38 : 997,656.75 = 997,656.75 : x
  2. Step 2: Convert to fraction form
    677,595.38/997,656.75 = 997,656.75/x
  3. Step 3: Cross multiply
    677,595.38x = 997,656.75 × 997,656.75
  4. Step 4: Simplify right side
    677,595.38x = 995,318,990,820.56
  5. Step 5: Solve for x
    x = 995,318,990,820.56/677,595.38
  6. Step 6: Final answer
    x = 1,468,898.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.