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Finding the Third Proportional to 349,096 and 537,252

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Solution

The third proportional to 349,096 and 537,252 is: 826,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,096 : 537,252 = 537,252 : x
  2. Step 2: Convert to fraction form
    349,096/537,252 = 537,252/x
  3. Step 3: Cross multiply
    349,096x = 537,252 × 537,252
  4. Step 4: Simplify right side
    349,096x = 288,639,711,504
  5. Step 5: Solve for x
    x = 288,639,711,504/349,096
  6. Step 6: Final answer
    x = 826,820.45

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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.