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Finding the Third Proportional to 299,518 and 651,523

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Solution

The third proportional to 299,518 and 651,523 is: 1,417,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,518 : 651,523 = 651,523 : x
  2. Step 2: Convert to fraction form
    299,518/651,523 = 651,523/x
  3. Step 3: Cross multiply
    299,518x = 651,523 × 651,523
  4. Step 4: Simplify right side
    299,518x = 424,482,219,529
  5. Step 5: Solve for x
    x = 424,482,219,529/299,518
  6. Step 6: Final answer
    x = 1,417,217.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.