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Finding the Third Proportional to 293,672 and 466,764

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Solution

The third proportional to 293,672 and 466,764 is: 741,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,672 : 466,764 = 466,764 : x
  2. Step 2: Convert to fraction form
    293,672/466,764 = 466,764/x
  3. Step 3: Cross multiply
    293,672x = 466,764 × 466,764
  4. Step 4: Simplify right side
    293,672x = 217,868,631,696
  5. Step 5: Solve for x
    x = 217,868,631,696/293,672
  6. Step 6: Final answer
    x = 741,877.44

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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.