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Finding the Third Proportional to 504,133.88 and 771,570.56

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Solution

The third proportional to 504,133.88 and 771,570.56 is: 1,180,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,133.88 : 771,570.56 = 771,570.56 : x
  2. Step 2: Convert to fraction form
    504,133.88/771,570.56 = 771,570.56/x
  3. Step 3: Cross multiply
    504,133.88x = 771,570.56 × 771,570.56
  4. Step 4: Simplify right side
    504,133.88x = 595,321,132,916.57
  5. Step 5: Solve for x
    x = 595,321,132,916.57/504,133.88
  6. Step 6: Final answer
    x = 1,180,879.05

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Why These Related Problems?

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