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Finding the Third Proportional to 330,985 and 714,446

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Solution

The third proportional to 330,985 and 714,446 is: 1,542,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,985 : 714,446 = 714,446 : x
  2. Step 2: Convert to fraction form
    330,985/714,446 = 714,446/x
  3. Step 3: Cross multiply
    330,985x = 714,446 × 714,446
  4. Step 4: Simplify right side
    330,985x = 510,433,086,916
  5. Step 5: Solve for x
    x = 510,433,086,916/330,985
  6. Step 6: Final answer
    x = 1,542,163.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.