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Finding the Third Proportional to 186,820 and 437,002

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Solution

The third proportional to 186,820 and 437,002 is: 1,022,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,820 : 437,002 = 437,002 : x
  2. Step 2: Convert to fraction form
    186,820/437,002 = 437,002/x
  3. Step 3: Cross multiply
    186,820x = 437,002 × 437,002
  4. Step 4: Simplify right side
    186,820x = 190,970,748,004
  5. Step 5: Solve for x
    x = 190,970,748,004/186,820
  6. Step 6: Final answer
    x = 1,022,217.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.