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Finding the Third Proportional to 366,915 and 749,382

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Solution

The third proportional to 366,915 and 749,382 is: 1,530,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,915 : 749,382 = 749,382 : x
  2. Step 2: Convert to fraction form
    366,915/749,382 = 749,382/x
  3. Step 3: Cross multiply
    366,915x = 749,382 × 749,382
  4. Step 4: Simplify right side
    366,915x = 561,573,381,924
  5. Step 5: Solve for x
    x = 561,573,381,924/366,915
  6. Step 6: Final answer
    x = 1,530,527.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.