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Finding the Third Proportional to 651,917 and 997,329

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Solution

The third proportional to 651,917 and 997,329 is: 1,525,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,917 : 997,329 = 997,329 : x
  2. Step 2: Convert to fraction form
    651,917/997,329 = 997,329/x
  3. Step 3: Cross multiply
    651,917x = 997,329 × 997,329
  4. Step 4: Simplify right side
    651,917x = 994,665,134,241
  5. Step 5: Solve for x
    x = 994,665,134,241/651,917
  6. Step 6: Final answer
    x = 1,525,754.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.