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Finding the Third Proportional to 344,314 and 745,802

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Solution

The third proportional to 344,314 and 745,802 is: 1,615,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314 : 745,802 = 745,802 : x
  2. Step 2: Convert to fraction form
    344,314/745,802 = 745,802/x
  3. Step 3: Cross multiply
    344,314x = 745,802 × 745,802
  4. Step 4: Simplify right side
    344,314x = 556,220,623,204
  5. Step 5: Solve for x
    x = 556,220,623,204/344,314
  6. Step 6: Final answer
    x = 1,615,445.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.