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Finding the Third Proportional to 334,854 and 469,425

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Solution

The third proportional to 334,854 and 469,425 is: 658,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,854 : 469,425 = 469,425 : x
  2. Step 2: Convert to fraction form
    334,854/469,425 = 469,425/x
  3. Step 3: Cross multiply
    334,854x = 469,425 × 469,425
  4. Step 4: Simplify right side
    334,854x = 220,359,830,625
  5. Step 5: Solve for x
    x = 220,359,830,625/334,854
  6. Step 6: Final answer
    x = 658,077.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.