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Finding the Third Proportional to 677,614.50 and 997,650

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Solution

The third proportional to 677,614.50 and 997,650 is: 1,468,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,614.50 : 997,650 = 997,650 : x
  2. Step 2: Convert to fraction form
    677,614.50/997,650 = 997,650/x
  3. Step 3: Cross multiply
    677,614.50x = 997,650 × 997,650
  4. Step 4: Simplify right side
    677,614.50x = 995,305,522,500
  5. Step 5: Solve for x
    x = 995,305,522,500/677,614.50
  6. Step 6: Final answer
    x = 1,468,837.40

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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.