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Finding the Third Proportional to 469,164 and 668,466

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Solution

The third proportional to 469,164 and 668,466 is: 952,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,164 : 668,466 = 668,466 : x
  2. Step 2: Convert to fraction form
    469,164/668,466 = 668,466/x
  3. Step 3: Cross multiply
    469,164x = 668,466 × 668,466
  4. Step 4: Simplify right side
    469,164x = 446,846,793,156
  5. Step 5: Solve for x
    x = 446,846,793,156/469,164
  6. Step 6: Final answer
    x = 952,431.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.