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Finding the Third Proportional to 354,098 and 548,283

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Solution

The third proportional to 354,098 and 548,283 is: 848,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,098 : 548,283 = 548,283 : x
  2. Step 2: Convert to fraction form
    354,098/548,283 = 548,283/x
  3. Step 3: Cross multiply
    354,098x = 548,283 × 548,283
  4. Step 4: Simplify right side
    354,098x = 300,614,248,089
  5. Step 5: Solve for x
    x = 300,614,248,089/354,098
  6. Step 6: Final answer
    x = 848,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.