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Finding the Third Proportional to 437,680 and 942,320

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Solution

The third proportional to 437,680 and 942,320 is: 2,028,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,680 : 942,320 = 942,320 : x
  2. Step 2: Convert to fraction form
    437,680/942,320 = 942,320/x
  3. Step 3: Cross multiply
    437,680x = 942,320 × 942,320
  4. Step 4: Simplify right side
    437,680x = 887,966,982,400
  5. Step 5: Solve for x
    x = 887,966,982,400/437,680
  6. Step 6: Final answer
    x = 2,028,804.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.