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Finding the Third Proportional to 343,425 and 737,637

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Solution

The third proportional to 343,425 and 737,637 is: 1,584,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,425 : 737,637 = 737,637 : x
  2. Step 2: Convert to fraction form
    343,425/737,637 = 737,637/x
  3. Step 3: Cross multiply
    343,425x = 737,637 × 737,637
  4. Step 4: Simplify right side
    343,425x = 544,108,343,769
  5. Step 5: Solve for x
    x = 544,108,343,769/343,425
  6. Step 6: Final answer
    x = 1,584,358.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.