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Finding the Third Proportional to 266,476 and 398,894

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Solution

The third proportional to 266,476 and 398,894 is: 597,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,476 : 398,894 = 398,894 : x
  2. Step 2: Convert to fraction form
    266,476/398,894 = 398,894/x
  3. Step 3: Cross multiply
    266,476x = 398,894 × 398,894
  4. Step 4: Simplify right side
    266,476x = 159,116,423,236
  5. Step 5: Solve for x
    x = 159,116,423,236/266,476
  6. Step 6: Final answer
    x = 597,113.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.