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Finding the Third Proportional to 213,423 and 466,206

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Solution

The third proportional to 213,423 and 466,206 is: 1,018,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,423 : 466,206 = 466,206 : x
  2. Step 2: Convert to fraction form
    213,423/466,206 = 466,206/x
  3. Step 3: Cross multiply
    213,423x = 466,206 × 466,206
  4. Step 4: Simplify right side
    213,423x = 217,348,034,436
  5. Step 5: Solve for x
    x = 217,348,034,436/213,423
  6. Step 6: Final answer
    x = 1,018,390.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.