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Finding the Third Proportional to 344,505 and 730,704

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Solution

The third proportional to 344,505 and 730,704 is: 1,549,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,505 : 730,704 = 730,704 : x
  2. Step 2: Convert to fraction form
    344,505/730,704 = 730,704/x
  3. Step 3: Cross multiply
    344,505x = 730,704 × 730,704
  4. Step 4: Simplify right side
    344,505x = 533,928,335,616
  5. Step 5: Solve for x
    x = 533,928,335,616/344,505
  6. Step 6: Final answer
    x = 1,549,842.05

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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.