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Finding the Third Proportional to 344,326 and 749,624

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Solution

The third proportional to 344,326 and 749,624 is: 1,631,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,326 : 749,624 = 749,624 : x
  2. Step 2: Convert to fraction form
    344,326/749,624 = 749,624/x
  3. Step 3: Cross multiply
    344,326x = 749,624 × 749,624
  4. Step 4: Simplify right side
    344,326x = 561,936,141,376
  5. Step 5: Solve for x
    x = 561,936,141,376/344,326
  6. Step 6: Final answer
    x = 1,631,988.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.