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Finding the Third Proportional to 286,086.75 and 420,372

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Solution

The third proportional to 286,086.75 and 420,372 is: 617,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,086.75 : 420,372 = 420,372 : x
  2. Step 2: Convert to fraction form
    286,086.75/420,372 = 420,372/x
  3. Step 3: Cross multiply
    286,086.75x = 420,372 × 420,372
  4. Step 4: Simplify right side
    286,086.75x = 176,712,618,384
  5. Step 5: Solve for x
    x = 176,712,618,384/286,086.75
  6. Step 6: Final answer
    x = 617,688.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.