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Finding the Third Proportional to 344,559 and 730,806

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Solution

The third proportional to 344,559 and 730,806 is: 1,550,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,559 : 730,806 = 730,806 : x
  2. Step 2: Convert to fraction form
    344,559/730,806 = 730,806/x
  3. Step 3: Cross multiply
    344,559x = 730,806 × 730,806
  4. Step 4: Simplify right side
    344,559x = 534,077,409,636
  5. Step 5: Solve for x
    x = 534,077,409,636/344,559
  6. Step 6: Final answer
    x = 1,550,031.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.