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Finding the Third Proportional to 270,602 and 584,108

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Solution

The third proportional to 270,602 and 584,108 is: 1,260,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,602 : 584,108 = 584,108 : x
  2. Step 2: Convert to fraction form
    270,602/584,108 = 584,108/x
  3. Step 3: Cross multiply
    270,602x = 584,108 × 584,108
  4. Step 4: Simplify right side
    270,602x = 341,182,155,664
  5. Step 5: Solve for x
    x = 341,182,155,664/270,602
  6. Step 6: Final answer
    x = 1,260,826.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.