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Finding the Third Proportional to 334,692 and 469,206

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Solution

The third proportional to 334,692 and 469,206 is: 657,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,692 : 469,206 = 469,206 : x
  2. Step 2: Convert to fraction form
    334,692/469,206 = 469,206/x
  3. Step 3: Cross multiply
    334,692x = 469,206 × 469,206
  4. Step 4: Simplify right side
    334,692x = 220,154,270,436
  5. Step 5: Solve for x
    x = 220,154,270,436/334,692
  6. Step 6: Final answer
    x = 657,781.69

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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.