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Finding the Third Proportional to 516,114 and 758,991

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Solution

The third proportional to 516,114 and 758,991 is: 1,116,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,114 : 758,991 = 758,991 : x
  2. Step 2: Convert to fraction form
    516,114/758,991 = 758,991/x
  3. Step 3: Cross multiply
    516,114x = 758,991 × 758,991
  4. Step 4: Simplify right side
    516,114x = 576,067,338,081
  5. Step 5: Solve for x
    x = 576,067,338,081/516,114
  6. Step 6: Final answer
    x = 1,116,162.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.