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Finding the Third Proportional to 349,094 and 537,249

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Solution

The third proportional to 349,094 and 537,249 is: 826,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,094 : 537,249 = 537,249 : x
  2. Step 2: Convert to fraction form
    349,094/537,249 = 537,249/x
  3. Step 3: Cross multiply
    349,094x = 537,249 × 537,249
  4. Step 4: Simplify right side
    349,094x = 288,636,488,001
  5. Step 5: Solve for x
    x = 288,636,488,001/349,094
  6. Step 6: Final answer
    x = 826,815.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.