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Finding the Third Proportional to 381,042 and 560,160

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Solution

The third proportional to 381,042 and 560,160 is: 823,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,042 : 560,160 = 560,160 : x
  2. Step 2: Convert to fraction form
    381,042/560,160 = 560,160/x
  3. Step 3: Cross multiply
    381,042x = 560,160 × 560,160
  4. Step 4: Simplify right side
    381,042x = 313,779,225,600
  5. Step 5: Solve for x
    x = 313,779,225,600/381,042
  6. Step 6: Final answer
    x = 823,476.74

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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.