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Finding the Third Proportional to 686,539.50 and 998,643

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Solution

The third proportional to 686,539.50 and 998,643 is: 1,452,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,539.50 : 998,643 = 998,643 : x
  2. Step 2: Convert to fraction form
    686,539.50/998,643 = 998,643/x
  3. Step 3: Cross multiply
    686,539.50x = 998,643 × 998,643
  4. Step 4: Simplify right side
    686,539.50x = 997,287,841,449
  5. Step 5: Solve for x
    x = 997,287,841,449/686,539.50
  6. Step 6: Final answer
    x = 1,452,629.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.