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Finding the Third Proportional to 692,041.50 and 931,182.75

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Solution

The third proportional to 692,041.50 and 931,182.75 is: 1,252,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,041.50 : 931,182.75 = 931,182.75 : x
  2. Step 2: Convert to fraction form
    692,041.50/931,182.75 = 931,182.75/x
  3. Step 3: Cross multiply
    692,041.50x = 931,182.75 × 931,182.75
  4. Step 4: Simplify right side
    692,041.50x = 867,101,313,897.56
  5. Step 5: Solve for x
    x = 867,101,313,897.56/692,041.50
  6. Step 6: Final answer
    x = 1,252,961.44

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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.