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Finding the Third Proportional to 272,832 and 596,224

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Solution

The third proportional to 272,832 and 596,224 is: 1,302,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,832 : 596,224 = 596,224 : x
  2. Step 2: Convert to fraction form
    272,832/596,224 = 596,224/x
  3. Step 3: Cross multiply
    272,832x = 596,224 × 596,224
  4. Step 4: Simplify right side
    272,832x = 355,483,058,176
  5. Step 5: Solve for x
    x = 355,483,058,176/272,832
  6. Step 6: Final answer
    x = 1,302,937.55

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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.