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Finding the Third Proportional to 691,998.50 and 931,563

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Solution

The third proportional to 691,998.50 and 931,563 is: 1,254,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,998.50 : 931,563 = 931,563 : x
  2. Step 2: Convert to fraction form
    691,998.50/931,563 = 931,563/x
  3. Step 3: Cross multiply
    691,998.50x = 931,563 × 931,563
  4. Step 4: Simplify right side
    691,998.50x = 867,809,622,969
  5. Step 5: Solve for x
    x = 867,809,622,969/691,998.50
  6. Step 6: Final answer
    x = 1,254,062.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.