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Finding the Third Proportional to 383,451 and 593,122.50

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Solution

The third proportional to 383,451 and 593,122.50 is: 917,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,451 : 593,122.50 = 593,122.50 : x
  2. Step 2: Convert to fraction form
    383,451/593,122.50 = 593,122.50/x
  3. Step 3: Cross multiply
    383,451x = 593,122.50 × 593,122.50
  4. Step 4: Simplify right side
    383,451x = 351,794,300,006.25
  5. Step 5: Solve for x
    x = 351,794,300,006.25/383,451
  6. Step 6: Final answer
    x = 917,442.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.