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Finding the Third Proportional to 214,942 and 505,576

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Solution

The third proportional to 214,942 and 505,576 is: 1,189,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,942 : 505,576 = 505,576 : x
  2. Step 2: Convert to fraction form
    214,942/505,576 = 505,576/x
  3. Step 3: Cross multiply
    214,942x = 505,576 × 505,576
  4. Step 4: Simplify right side
    214,942x = 255,607,091,776
  5. Step 5: Solve for x
    x = 255,607,091,776/214,942
  6. Step 6: Final answer
    x = 1,189,191.00

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.