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Finding the Third Proportional to 522,045 and 694,129.50

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Solution

The third proportional to 522,045 and 694,129.50 is: 922,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,045 : 694,129.50 = 694,129.50 : x
  2. Step 2: Convert to fraction form
    522,045/694,129.50 = 694,129.50/x
  3. Step 3: Cross multiply
    522,045x = 694,129.50 × 694,129.50
  4. Step 4: Simplify right side
    522,045x = 481,815,762,770.25
  5. Step 5: Solve for x
    x = 481,815,762,770.25/522,045
  6. Step 6: Final answer
    x = 922,939.14

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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.