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Finding the Third Proportional to 387,453 and 520,672.50

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Solution

The third proportional to 387,453 and 520,672.50 is: 699,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,453 : 520,672.50 = 520,672.50 : x
  2. Step 2: Convert to fraction form
    387,453/520,672.50 = 520,672.50/x
  3. Step 3: Cross multiply
    387,453x = 520,672.50 × 520,672.50
  4. Step 4: Simplify right side
    387,453x = 271,099,852,256.25
  5. Step 5: Solve for x
    x = 271,099,852,256.25/387,453
  6. Step 6: Final answer
    x = 699,697.39

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