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Finding the Third Proportional to 362,343 and 787,116

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Solution

The third proportional to 362,343 and 787,116 is: 1,709,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,343 : 787,116 = 787,116 : x
  2. Step 2: Convert to fraction form
    362,343/787,116 = 787,116/x
  3. Step 3: Cross multiply
    362,343x = 787,116 × 787,116
  4. Step 4: Simplify right side
    362,343x = 619,551,597,456
  5. Step 5: Solve for x
    x = 619,551,597,456/362,343
  6. Step 6: Final answer
    x = 1,709,848.40

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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.