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Finding the Third Proportional to 366,931 and 749,414

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Solution

The third proportional to 366,931 and 749,414 is: 1,530,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,931 : 749,414 = 749,414 : x
  2. Step 2: Convert to fraction form
    366,931/749,414 = 749,414/x
  3. Step 3: Cross multiply
    366,931x = 749,414 × 749,414
  4. Step 4: Simplify right side
    366,931x = 561,621,343,396
  5. Step 5: Solve for x
    x = 561,621,343,396/366,931
  6. Step 6: Final answer
    x = 1,530,591.16

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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.