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Finding the Third Proportional to 291,604 and 437,406.50

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Solution

The third proportional to 291,604 and 437,406.50 is: 656,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,604 : 437,406.50 = 437,406.50 : x
  2. Step 2: Convert to fraction form
    291,604/437,406.50 = 437,406.50/x
  3. Step 3: Cross multiply
    291,604x = 437,406.50 × 437,406.50
  4. Step 4: Simplify right side
    291,604x = 191,324,446,242.25
  5. Step 5: Solve for x
    x = 191,324,446,242.25/291,604
  6. Step 6: Final answer
    x = 656,110.50

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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.