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Finding the Third Proportional to 498,730.50 and 1,032,939

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Solution

The third proportional to 498,730.50 and 1,032,939 is: 2,139,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,730.50 : 1,032,939 = 1,032,939 : x
  2. Step 2: Convert to fraction form
    498,730.50/1,032,939 = 1,032,939/x
  3. Step 3: Cross multiply
    498,730.50x = 1,032,939 × 1,032,939
  4. Step 4: Simplify right side
    498,730.50x = 1,066,962,977,721
  5. Step 5: Solve for x
    x = 1,066,962,977,721/498,730.50
  6. Step 6: Final answer
    x = 2,139,357.78

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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.