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Finding the Third Proportional to 498,679.88 and 972,437.06

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Solution

The third proportional to 498,679.88 and 972,437.06 is: 1,896,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,679.88 : 972,437.06 = 972,437.06 : x
  2. Step 2: Convert to fraction form
    498,679.88/972,437.06 = 972,437.06/x
  3. Step 3: Cross multiply
    498,679.88x = 972,437.06 × 972,437.06
  4. Step 4: Simplify right side
    498,679.88x = 945,633,840,523.63
  5. Step 5: Solve for x
    x = 945,633,840,523.63/498,679.88
  6. Step 6: Final answer
    x = 1,896,274.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.