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Finding the Third Proportional to 213,070 and 466,229

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Solution

The third proportional to 213,070 and 466,229 is: 1,020,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,070 : 466,229 = 466,229 : x
  2. Step 2: Convert to fraction form
    213,070/466,229 = 466,229/x
  3. Step 3: Cross multiply
    213,070x = 466,229 × 466,229
  4. Step 4: Simplify right side
    213,070x = 217,369,480,441
  5. Step 5: Solve for x
    x = 217,369,480,441/213,070
  6. Step 6: Final answer
    x = 1,020,178.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.