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Finding the Third Proportional to 498,699.75 and 1,032,873

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Solution

The third proportional to 498,699.75 and 1,032,873 is: 2,139,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,699.75 : 1,032,873 = 1,032,873 : x
  2. Step 2: Convert to fraction form
    498,699.75/1,032,873 = 1,032,873/x
  3. Step 3: Cross multiply
    498,699.75x = 1,032,873 × 1,032,873
  4. Step 4: Simplify right side
    498,699.75x = 1,066,826,634,129
  5. Step 5: Solve for x
    x = 1,066,826,634,129/498,699.75
  6. Step 6: Final answer
    x = 2,139,216.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.