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Finding the Third Proportional to 677,532 and 997,600.50

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Solution

The third proportional to 677,532 and 997,600.50 is: 1,468,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,532 : 997,600.50 = 997,600.50 : x
  2. Step 2: Convert to fraction form
    677,532/997,600.50 = 997,600.50/x
  3. Step 3: Cross multiply
    677,532x = 997,600.50 × 997,600.50
  4. Step 4: Simplify right side
    677,532x = 995,206,757,600.25
  5. Step 5: Solve for x
    x = 995,206,757,600.25/677,532
  6. Step 6: Final answer
    x = 1,468,870.49

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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.