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Finding the Third Proportional to 293,386 and 440,728

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Solution

The third proportional to 293,386 and 440,728 is: 662,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,386 : 440,728 = 440,728 : x
  2. Step 2: Convert to fraction form
    293,386/440,728 = 440,728/x
  3. Step 3: Cross multiply
    293,386x = 440,728 × 440,728
  4. Step 4: Simplify right side
    293,386x = 194,241,169,984
  5. Step 5: Solve for x
    x = 194,241,169,984/293,386
  6. Step 6: Final answer
    x = 662,066.94

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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.