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Finding the Third Proportional to 501,517.83 and 977,919.33

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Solution

The third proportional to 501,517.83 and 977,919.33 is: 1,906,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,517.83 : 977,919.33 = 977,919.33 : x
  2. Step 2: Convert to fraction form
    501,517.83/977,919.33 = 977,919.33/x
  3. Step 3: Cross multiply
    501,517.83x = 977,919.33 × 977,919.33
  4. Step 4: Simplify right side
    501,517.83x = 956,326,212,320.45
  5. Step 5: Solve for x
    x = 956,326,212,320.45/501,517.83
  6. Step 6: Final answer
    x = 1,906,863.84

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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.