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Finding the Third Proportional to 362,330 and 787,092

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Solution

The third proportional to 362,330 and 787,092 is: 1,709,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,330 : 787,092 = 787,092 : x
  2. Step 2: Convert to fraction form
    362,330/787,092 = 787,092/x
  3. Step 3: Cross multiply
    362,330x = 787,092 × 787,092
  4. Step 4: Simplify right side
    362,330x = 619,513,816,464
  5. Step 5: Solve for x
    x = 619,513,816,464/362,330
  6. Step 6: Final answer
    x = 1,709,805.47

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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.