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Finding the Third Proportional to 366,903 and 749,358

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Solution

The third proportional to 366,903 and 749,358 is: 1,530,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,903 : 749,358 = 749,358 : x
  2. Step 2: Convert to fraction form
    366,903/749,358 = 749,358/x
  3. Step 3: Cross multiply
    366,903x = 749,358 × 749,358
  4. Step 4: Simplify right side
    366,903x = 561,537,412,164
  5. Step 5: Solve for x
    x = 561,537,412,164/366,903
  6. Step 6: Final answer
    x = 1,530,479.21

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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.