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Finding the Third Proportional to 270,851 and 583,324

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Solution

The third proportional to 270,851 and 583,324 is: 1,256,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,851 : 583,324 = 583,324 : x
  2. Step 2: Convert to fraction form
    270,851/583,324 = 583,324/x
  3. Step 3: Cross multiply
    270,851x = 583,324 × 583,324
  4. Step 4: Simplify right side
    270,851x = 340,266,888,976
  5. Step 5: Solve for x
    x = 340,266,888,976/270,851
  6. Step 6: Final answer
    x = 1,256,288.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.