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Finding the Third Proportional to 293,376 and 440,712

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Solution

The third proportional to 293,376 and 440,712 is: 662,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,376 : 440,712 = 440,712 : x
  2. Step 2: Convert to fraction form
    293,376/440,712 = 440,712/x
  3. Step 3: Cross multiply
    293,376x = 440,712 × 440,712
  4. Step 4: Simplify right side
    293,376x = 194,227,066,944
  5. Step 5: Solve for x
    x = 194,227,066,944/293,376
  6. Step 6: Final answer
    x = 662,041.43

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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.