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Finding the Third Proportional to 374,314.50 and 529,633.50

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Solution

The third proportional to 374,314.50 and 529,633.50 is: 749,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,314.50 : 529,633.50 = 529,633.50 : x
  2. Step 2: Convert to fraction form
    374,314.50/529,633.50 = 529,633.50/x
  3. Step 3: Cross multiply
    374,314.50x = 529,633.50 × 529,633.50
  4. Step 4: Simplify right side
    374,314.50x = 280,511,644,322.25
  5. Step 5: Solve for x
    x = 280,511,644,322.25/374,314.50
  6. Step 6: Final answer
    x = 749,400.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.