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Finding the Third Proportional to 272,322 and 596,322

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Solution

The third proportional to 272,322 and 596,322 is: 1,305,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,322 : 596,322 = 596,322 : x
  2. Step 2: Convert to fraction form
    272,322/596,322 = 596,322/x
  3. Step 3: Cross multiply
    272,322x = 596,322 × 596,322
  4. Step 4: Simplify right side
    272,322x = 355,599,927,684
  5. Step 5: Solve for x
    x = 355,599,927,684/272,322
  6. Step 6: Final answer
    x = 1,305,806.83

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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.