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Finding the Third Proportional to 548,025.75 and 859,901.06

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Solution

The third proportional to 548,025.75 and 859,901.06 is: 1,349,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,025.75 : 859,901.06 = 859,901.06 : x
  2. Step 2: Convert to fraction form
    548,025.75/859,901.06 = 859,901.06/x
  3. Step 3: Cross multiply
    548,025.75x = 859,901.06 × 859,901.06
  4. Step 4: Simplify right side
    548,025.75x = 739,429,837,288.63
  5. Step 5: Solve for x
    x = 739,429,837,288.63/548,025.75
  6. Step 6: Final answer
    x = 1,349,261.12

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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.