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Finding the Third Proportional to 270,324 and 557,784

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Solution

The third proportional to 270,324 and 557,784 is: 1,150,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,324 : 557,784 = 557,784 : x
  2. Step 2: Convert to fraction form
    270,324/557,784 = 557,784/x
  3. Step 3: Cross multiply
    270,324x = 557,784 × 557,784
  4. Step 4: Simplify right side
    270,324x = 311,122,990,656
  5. Step 5: Solve for x
    x = 311,122,990,656/270,324
  6. Step 6: Final answer
    x = 1,150,926.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.