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Finding the Third Proportional to 513,703 and 818,117

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Solution

The third proportional to 513,703 and 818,117 is: 1,302,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,703 : 818,117 = 818,117 : x
  2. Step 2: Convert to fraction form
    513,703/818,117 = 818,117/x
  3. Step 3: Cross multiply
    513,703x = 818,117 × 818,117
  4. Step 4: Simplify right side
    513,703x = 669,315,425,689
  5. Step 5: Solve for x
    x = 669,315,425,689/513,703
  6. Step 6: Final answer
    x = 1,302,922.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.