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Finding the Third Proportional to 484,663.50 and 992,837.25

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Solution

The third proportional to 484,663.50 and 992,837.25 is: 2,033,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,663.50 : 992,837.25 = 992,837.25 : x
  2. Step 2: Convert to fraction form
    484,663.50/992,837.25 = 992,837.25/x
  3. Step 3: Cross multiply
    484,663.50x = 992,837.25 × 992,837.25
  4. Step 4: Simplify right side
    484,663.50x = 985,725,804,987.56
  5. Step 5: Solve for x
    x = 985,725,804,987.56/484,663.50
  6. Step 6: Final answer
    x = 2,033,835.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.