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Finding the Third Proportional to 344,332 and 749,636

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Solution

The third proportional to 344,332 and 749,636 is: 1,632,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,332 : 749,636 = 749,636 : x
  2. Step 2: Convert to fraction form
    344,332/749,636 = 749,636/x
  3. Step 3: Cross multiply
    344,332x = 749,636 × 749,636
  4. Step 4: Simplify right side
    344,332x = 561,954,132,496
  5. Step 5: Solve for x
    x = 561,954,132,496/344,332
  6. Step 6: Final answer
    x = 1,632,012.51

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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.