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Finding the Third Proportional to 344,244 and 730,254

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Solution

The third proportional to 344,244 and 730,254 is: 1,549,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,244 : 730,254 = 730,254 : x
  2. Step 2: Convert to fraction form
    344,244/730,254 = 730,254/x
  3. Step 3: Cross multiply
    344,244x = 730,254 × 730,254
  4. Step 4: Simplify right side
    344,244x = 533,270,904,516
  5. Step 5: Solve for x
    x = 533,270,904,516/344,244
  6. Step 6: Final answer
    x = 1,549,107.33

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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.