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Finding the Third Proportional to 344,733 and 744,897

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Solution

The third proportional to 344,733 and 744,897 is: 1,609,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,733 : 744,897 = 744,897 : x
  2. Step 2: Convert to fraction form
    344,733/744,897 = 744,897/x
  3. Step 3: Cross multiply
    344,733x = 744,897 × 744,897
  4. Step 4: Simplify right side
    344,733x = 554,871,540,609
  5. Step 5: Solve for x
    x = 554,871,540,609/344,733
  6. Step 6: Final answer
    x = 1,609,568.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.