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Finding the Third Proportional to 522,658.50 and 766,713

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Solution

The third proportional to 522,658.50 and 766,713 is: 1,124,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,658.50 : 766,713 = 766,713 : x
  2. Step 2: Convert to fraction form
    522,658.50/766,713 = 766,713/x
  3. Step 3: Cross multiply
    522,658.50x = 766,713 × 766,713
  4. Step 4: Simplify right side
    522,658.50x = 587,848,824,369
  5. Step 5: Solve for x
    x = 587,848,824,369/522,658.50
  6. Step 6: Final answer
    x = 1,124,728.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.