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Finding the Third Proportional to 342,744 and 533,637

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Solution

The third proportional to 342,744 and 533,637 is: 830,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,744 : 533,637 = 533,637 : x
  2. Step 2: Convert to fraction form
    342,744/533,637 = 533,637/x
  3. Step 3: Cross multiply
    342,744x = 533,637 × 533,637
  4. Step 4: Simplify right side
    342,744x = 284,768,447,769
  5. Step 5: Solve for x
    x = 284,768,447,769/342,744
  6. Step 6: Final answer
    x = 830,848.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.