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Finding the Third Proportional to 362,338 and 787,107

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Solution

The third proportional to 362,338 and 787,107 is: 1,709,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,338 : 787,107 = 787,107 : x
  2. Step 2: Convert to fraction form
    362,338/787,107 = 787,107/x
  3. Step 3: Cross multiply
    362,338x = 787,107 × 787,107
  4. Step 4: Simplify right side
    362,338x = 619,537,429,449
  5. Step 5: Solve for x
    x = 619,537,429,449/362,338
  6. Step 6: Final answer
    x = 1,709,832.89

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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.