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Finding the Third Proportional to 369,214 and 553,204

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Solution

The third proportional to 369,214 and 553,204 is: 828,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,214 : 553,204 = 553,204 : x
  2. Step 2: Convert to fraction form
    369,214/553,204 = 553,204/x
  3. Step 3: Cross multiply
    369,214x = 553,204 × 553,204
  4. Step 4: Simplify right side
    369,214x = 306,034,665,616
  5. Step 5: Solve for x
    x = 306,034,665,616/369,214
  6. Step 6: Final answer
    x = 828,881.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.