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Finding the Third Proportional to 349,106 and 533,814

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Solution

The third proportional to 349,106 and 533,814 is: 816,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,106 : 533,814 = 533,814 : x
  2. Step 2: Convert to fraction form
    349,106/533,814 = 533,814/x
  3. Step 3: Cross multiply
    349,106x = 533,814 × 533,814
  4. Step 4: Simplify right side
    349,106x = 284,957,386,596
  5. Step 5: Solve for x
    x = 284,957,386,596/349,106
  6. Step 6: Final answer
    x = 816,248.89

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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.