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Finding the Third Proportional to 364,317.75 and 530,074.13

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Solution

The third proportional to 364,317.75 and 530,074.13 is: 771,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,317.75 : 530,074.13 = 530,074.13 : x
  2. Step 2: Convert to fraction form
    364,317.75/530,074.13 = 530,074.13/x
  3. Step 3: Cross multiply
    364,317.75x = 530,074.13 × 530,074.13
  4. Step 4: Simplify right side
    364,317.75x = 280,978,577,994.52
  5. Step 5: Solve for x
    x = 280,978,577,994.52/364,317.75
  6. Step 6: Final answer
    x = 771,245.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.