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Finding the Third Proportional to 381,214 and 560,733

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Solution

The third proportional to 381,214 and 560,733 is: 824,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,214 : 560,733 = 560,733 : x
  2. Step 2: Convert to fraction form
    381,214/560,733 = 560,733/x
  3. Step 3: Cross multiply
    381,214x = 560,733 × 560,733
  4. Step 4: Simplify right side
    381,214x = 314,421,497,289
  5. Step 5: Solve for x
    x = 314,421,497,289/381,214
  6. Step 6: Final answer
    x = 824,790.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.