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Finding the Third Proportional to 291,088 and 437,713

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Solution

The third proportional to 291,088 and 437,713 is: 658,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,088 : 437,713 = 437,713 : x
  2. Step 2: Convert to fraction form
    291,088/437,713 = 437,713/x
  3. Step 3: Cross multiply
    291,088x = 437,713 × 437,713
  4. Step 4: Simplify right side
    291,088x = 191,592,670,369
  5. Step 5: Solve for x
    x = 191,592,670,369/291,088
  6. Step 6: Final answer
    x = 658,195.01

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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.