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Finding the Third Proportional to 248,784 and 372,784

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Solution

The third proportional to 248,784 and 372,784 is: 558,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,784 : 372,784 = 372,784 : x
  2. Step 2: Convert to fraction form
    248,784/372,784 = 372,784/x
  3. Step 3: Cross multiply
    248,784x = 372,784 × 372,784
  4. Step 4: Simplify right side
    248,784x = 138,967,910,656
  5. Step 5: Solve for x
    x = 138,967,910,656/248,784
  6. Step 6: Final answer
    x = 558,588.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.