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Finding the Third Proportional to 505,448 and 676,524

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Solution

The third proportional to 505,448 and 676,524 is: 905,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,448 : 676,524 = 676,524 : x
  2. Step 2: Convert to fraction form
    505,448/676,524 = 676,524/x
  3. Step 3: Cross multiply
    505,448x = 676,524 × 676,524
  4. Step 4: Simplify right side
    505,448x = 457,684,722,576
  5. Step 5: Solve for x
    x = 457,684,722,576/505,448
  6. Step 6: Final answer
    x = 905,503.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.