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Finding the Third Proportional to 362,339 and 787,108

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Solution

The third proportional to 362,339 and 787,108 is: 1,709,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,339 : 787,108 = 787,108 : x
  2. Step 2: Convert to fraction form
    362,339/787,108 = 787,108/x
  3. Step 3: Cross multiply
    362,339x = 787,108 × 787,108
  4. Step 4: Simplify right side
    362,339x = 619,539,003,664
  5. Step 5: Solve for x
    x = 619,539,003,664/362,339
  6. Step 6: Final answer
    x = 1,709,832.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.