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Finding the Third Proportional to 544,393 and 801,037.50

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Solution

The third proportional to 544,393 and 801,037.50 is: 1,178,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,393 : 801,037.50 = 801,037.50 : x
  2. Step 2: Convert to fraction form
    544,393/801,037.50 = 801,037.50/x
  3. Step 3: Cross multiply
    544,393x = 801,037.50 × 801,037.50
  4. Step 4: Simplify right side
    544,393x = 641,661,076,406.25
  5. Step 5: Solve for x
    x = 641,661,076,406.25/544,393
  6. Step 6: Final answer
    x = 1,178,672.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.