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Finding the Third Proportional to 383,776 and 536,814

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Solution

The third proportional to 383,776 and 536,814 is: 750,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,776 : 536,814 = 536,814 : x
  2. Step 2: Convert to fraction form
    383,776/536,814 = 536,814/x
  3. Step 3: Cross multiply
    383,776x = 536,814 × 536,814
  4. Step 4: Simplify right side
    383,776x = 288,169,270,596
  5. Step 5: Solve for x
    x = 288,169,270,596/383,776
  6. Step 6: Final answer
    x = 750,878.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.