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Finding the Third Proportional to 512,368 and 818,520

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Solution

The third proportional to 512,368 and 818,520 is: 1,307,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,368 : 818,520 = 818,520 : x
  2. Step 2: Convert to fraction form
    512,368/818,520 = 818,520/x
  3. Step 3: Cross multiply
    512,368x = 818,520 × 818,520
  4. Step 4: Simplify right side
    512,368x = 669,974,990,400
  5. Step 5: Solve for x
    x = 669,974,990,400/512,368
  6. Step 6: Final answer
    x = 1,307,605.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.