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Finding the Third Proportional to 293,674 and 466,768

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Solution

The third proportional to 293,674 and 466,768 is: 741,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,674 : 466,768 = 466,768 : x
  2. Step 2: Convert to fraction form
    293,674/466,768 = 466,768/x
  3. Step 3: Cross multiply
    293,674x = 466,768 × 466,768
  4. Step 4: Simplify right side
    293,674x = 217,872,365,824
  5. Step 5: Solve for x
    x = 217,872,365,824/293,674
  6. Step 6: Final answer
    x = 741,885.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.