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Finding the Third Proportional to 291,263 and 441,405

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Solution

The third proportional to 291,263 and 441,405 is: 668,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,263 : 441,405 = 441,405 : x
  2. Step 2: Convert to fraction form
    291,263/441,405 = 441,405/x
  3. Step 3: Cross multiply
    291,263x = 441,405 × 441,405
  4. Step 4: Simplify right side
    291,263x = 194,838,374,025
  5. Step 5: Solve for x
    x = 194,838,374,025/291,263
  6. Step 6: Final answer
    x = 668,943.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.