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Finding the Third Proportional to 677,529 and 997,596

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Solution

The third proportional to 677,529 and 997,596 is: 1,468,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,529 : 997,596 = 997,596 : x
  2. Step 2: Convert to fraction form
    677,529/997,596 = 997,596/x
  3. Step 3: Cross multiply
    677,529x = 997,596 × 997,596
  4. Step 4: Simplify right side
    677,529x = 995,197,779,216
  5. Step 5: Solve for x
    x = 995,197,779,216/677,529
  6. Step 6: Final answer
    x = 1,468,863.74

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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.