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Finding the Third Proportional to 544,298.25 and 1,153,489.50

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Solution

The third proportional to 544,298.25 and 1,153,489.50 is: 2,444,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,298.25 : 1,153,489.50 = 1,153,489.50 : x
  2. Step 2: Convert to fraction form
    544,298.25/1,153,489.50 = 1,153,489.50/x
  3. Step 3: Cross multiply
    544,298.25x = 1,153,489.50 × 1,153,489.50
  4. Step 4: Simplify right side
    544,298.25x = 1,330,538,026,610.25
  5. Step 5: Solve for x
    x = 1,330,538,026,610.25/544,298.25
  6. Step 6: Final answer
    x = 2,444,501.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.