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Finding the Third Proportional to 381,122 and 593,445

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Solution

The third proportional to 381,122 and 593,445 is: 924,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,122 : 593,445 = 593,445 : x
  2. Step 2: Convert to fraction form
    381,122/593,445 = 593,445/x
  3. Step 3: Cross multiply
    381,122x = 593,445 × 593,445
  4. Step 4: Simplify right side
    381,122x = 352,176,968,025
  5. Step 5: Solve for x
    x = 352,176,968,025/381,122
  6. Step 6: Final answer
    x = 924,053.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.