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Finding the Third Proportional to 686,281.50 and 1,049,832

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Solution

The third proportional to 686,281.50 and 1,049,832 is: 1,605,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,281.50 : 1,049,832 = 1,049,832 : x
  2. Step 2: Convert to fraction form
    686,281.50/1,049,832 = 1,049,832/x
  3. Step 3: Cross multiply
    686,281.50x = 1,049,832 × 1,049,832
  4. Step 4: Simplify right side
    686,281.50x = 1,102,147,228,224
  5. Step 5: Solve for x
    x = 1,102,147,228,224/686,281.50
  6. Step 6: Final answer
    x = 1,605,969.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.