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Finding the Third Proportional to 504,437.63 and 771,433.88

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Solution

The third proportional to 504,437.63 and 771,433.88 is: 1,179,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,437.63 : 771,433.88 = 771,433.88 : x
  2. Step 2: Convert to fraction form
    504,437.63/771,433.88 = 771,433.88/x
  3. Step 3: Cross multiply
    504,437.63x = 771,433.88 × 771,433.88
  4. Step 4: Simplify right side
    504,437.63x = 595,110,223,497.52
  5. Step 5: Solve for x
    x = 595,110,223,497.52/504,437.63
  6. Step 6: Final answer
    x = 1,179,749.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.