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Finding the Third Proportional to 291,810 and 437,712

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Solution

The third proportional to 291,810 and 437,712 is: 656,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,810 : 437,712 = 437,712 : x
  2. Step 2: Convert to fraction form
    291,810/437,712 = 437,712/x
  3. Step 3: Cross multiply
    291,810x = 437,712 × 437,712
  4. Step 4: Simplify right side
    291,810x = 191,591,794,944
  5. Step 5: Solve for x
    x = 191,591,794,944/291,810
  6. Step 6: Final answer
    x = 656,563.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.