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Finding the Third Proportional to 286,086.94 and 418,864.50

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Solution

The third proportional to 286,086.94 and 418,864.50 is: 613,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,086.94 : 418,864.50 = 418,864.50 : x
  2. Step 2: Convert to fraction form
    286,086.94/418,864.50 = 418,864.50/x
  3. Step 3: Cross multiply
    286,086.94x = 418,864.50 × 418,864.50
  4. Step 4: Simplify right side
    286,086.94x = 175,447,469,360.25
  5. Step 5: Solve for x
    x = 175,447,469,360.25/286,086.94
  6. Step 6: Final answer
    x = 613,266.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.