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Finding the Third Proportional to 403,538.63 and 603,151.31

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Solution

The third proportional to 403,538.63 and 603,151.31 is: 901,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,538.63 : 603,151.31 = 603,151.31 : x
  2. Step 2: Convert to fraction form
    403,538.63/603,151.31 = 603,151.31/x
  3. Step 3: Cross multiply
    403,538.63x = 603,151.31 × 603,151.31
  4. Step 4: Simplify right side
    403,538.63x = 363,791,505,770.47
  5. Step 5: Solve for x
    x = 363,791,505,770.47/403,538.63
  6. Step 6: Final answer
    x = 901,503.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.