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Finding the Third Proportional to 291,798 and 437,699.25

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Solution

The third proportional to 291,798 and 437,699.25 is: 656,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,798 : 437,699.25 = 437,699.25 : x
  2. Step 2: Convert to fraction form
    291,798/437,699.25 = 437,699.25/x
  3. Step 3: Cross multiply
    291,798x = 437,699.25 × 437,699.25
  4. Step 4: Simplify right side
    291,798x = 191,580,633,450.56
  5. Step 5: Solve for x
    x = 191,580,633,450.56/291,798
  6. Step 6: Final answer
    x = 656,552.25

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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.