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Finding the Third Proportional to 349,114 and 533,822

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Solution

The third proportional to 349,114 and 533,822 is: 816,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,114 : 533,822 = 533,822 : x
  2. Step 2: Convert to fraction form
    349,114/533,822 = 533,822/x
  3. Step 3: Cross multiply
    349,114x = 533,822 × 533,822
  4. Step 4: Simplify right side
    349,114x = 284,965,927,684
  5. Step 5: Solve for x
    x = 284,965,927,684/349,114
  6. Step 6: Final answer
    x = 816,254.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.