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Finding the Third Proportional to 213,119 and 466,373

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Solution

The third proportional to 213,119 and 466,373 is: 1,020,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,119 : 466,373 = 466,373 : x
  2. Step 2: Convert to fraction form
    213,119/466,373 = 466,373/x
  3. Step 3: Cross multiply
    213,119x = 466,373 × 466,373
  4. Step 4: Simplify right side
    213,119x = 217,503,775,129
  5. Step 5: Solve for x
    x = 217,503,775,129/213,119
  6. Step 6: Final answer
    x = 1,020,574.30

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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.