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Finding the Third Proportional to 362,341 and 787,111

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Solution

The third proportional to 362,341 and 787,111 is: 1,709,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,341 : 787,111 = 787,111 : x
  2. Step 2: Convert to fraction form
    362,341/787,111 = 787,111/x
  3. Step 3: Cross multiply
    362,341x = 787,111 × 787,111
  4. Step 4: Simplify right side
    362,341x = 619,543,726,321
  5. Step 5: Solve for x
    x = 619,543,726,321/362,341
  6. Step 6: Final answer
    x = 1,709,836.11

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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.