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Finding the Third Proportional to 332,985 and 521,799

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Solution

The third proportional to 332,985 and 521,799 is: 817,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,985 : 521,799 = 521,799 : x
  2. Step 2: Convert to fraction form
    332,985/521,799 = 521,799/x
  3. Step 3: Cross multiply
    332,985x = 521,799 × 521,799
  4. Step 4: Simplify right side
    332,985x = 272,274,196,401
  5. Step 5: Solve for x
    x = 272,274,196,401/332,985
  6. Step 6: Final answer
    x = 817,677.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.