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Finding the Third Proportional to 274,012.88 and 429,950.53

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Solution

The third proportional to 274,012.88 and 429,950.53 is: 674,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,012.88 : 429,950.53 = 429,950.53 : x
  2. Step 2: Convert to fraction form
    274,012.88/429,950.53 = 429,950.53/x
  3. Step 3: Cross multiply
    274,012.88x = 429,950.53 × 429,950.53
  4. Step 4: Simplify right side
    274,012.88x = 184,857,459,322.16
  5. Step 5: Solve for x
    x = 184,857,459,322.16/274,012.88
  6. Step 6: Final answer
    x = 674,630.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.