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Finding the Third Proportional to 215,806 and 462,716

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Solution

The third proportional to 215,806 and 462,716 is: 992,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,806 : 462,716 = 462,716 : x
  2. Step 2: Convert to fraction form
    215,806/462,716 = 462,716/x
  3. Step 3: Cross multiply
    215,806x = 462,716 × 462,716
  4. Step 4: Simplify right side
    215,806x = 214,106,096,656
  5. Step 5: Solve for x
    x = 214,106,096,656/215,806
  6. Step 6: Final answer
    x = 992,123.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.