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Finding the Third Proportional to 344,556 and 730,800

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Solution

The third proportional to 344,556 and 730,800 is: 1,550,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,556 : 730,800 = 730,800 : x
  2. Step 2: Convert to fraction form
    344,556/730,800 = 730,800/x
  3. Step 3: Cross multiply
    344,556x = 730,800 × 730,800
  4. Step 4: Simplify right side
    344,556x = 534,068,640,000
  5. Step 5: Solve for x
    x = 534,068,640,000/344,556
  6. Step 6: Final answer
    x = 1,550,019.85

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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.