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Finding the Third Proportional to 381,232 and 560,754

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Solution

The third proportional to 381,232 and 560,754 is: 824,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,232 : 560,754 = 560,754 : x
  2. Step 2: Convert to fraction form
    381,232/560,754 = 560,754/x
  3. Step 3: Cross multiply
    381,232x = 560,754 × 560,754
  4. Step 4: Simplify right side
    381,232x = 314,445,048,516
  5. Step 5: Solve for x
    x = 314,445,048,516/381,232
  6. Step 6: Final answer
    x = 824,812.84

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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.