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Finding the Third Proportional to 362,346 and 787,120

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Solution

The third proportional to 362,346 and 787,120 is: 1,709,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,346 : 787,120 = 787,120 : x
  2. Step 2: Convert to fraction form
    362,346/787,120 = 787,120/x
  3. Step 3: Cross multiply
    362,346x = 787,120 × 787,120
  4. Step 4: Simplify right side
    362,346x = 619,557,894,400
  5. Step 5: Solve for x
    x = 619,557,894,400/362,346
  6. Step 6: Final answer
    x = 1,709,851.62

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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.