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Finding the Third Proportional to 504,451.13 and 737,277.19

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Solution

The third proportional to 504,451.13 and 737,277.19 is: 1,077,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,451.13 : 737,277.19 = 737,277.19 : x
  2. Step 2: Convert to fraction form
    504,451.13/737,277.19 = 737,277.19/x
  3. Step 3: Cross multiply
    504,451.13x = 737,277.19 × 737,277.19
  4. Step 4: Simplify right side
    504,451.13x = 543,577,651,207.91
  5. Step 5: Solve for x
    x = 543,577,651,207.91/504,451.13
  6. Step 6: Final answer
    x = 1,077,562.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.