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Finding the Third Proportional to 508,320 and 677,682.75

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Solution

The third proportional to 508,320 and 677,682.75 is: 903,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,320 : 677,682.75 = 677,682.75 : x
  2. Step 2: Convert to fraction form
    508,320/677,682.75 = 677,682.75/x
  3. Step 3: Cross multiply
    508,320x = 677,682.75 × 677,682.75
  4. Step 4: Simplify right side
    508,320x = 459,253,909,647.56
  5. Step 5: Solve for x
    x = 459,253,909,647.56/508,320
  6. Step 6: Final answer
    x = 903,474.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.