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Finding the Third Proportional to 544,568.06 and 727,339.50

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Solution

The third proportional to 544,568.06 and 727,339.50 is: 971,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,568.06 : 727,339.50 = 727,339.50 : x
  2. Step 2: Convert to fraction form
    544,568.06/727,339.50 = 727,339.50/x
  3. Step 3: Cross multiply
    544,568.06x = 727,339.50 × 727,339.50
  4. Step 4: Simplify right side
    544,568.06x = 529,022,748,260.25
  5. Step 5: Solve for x
    x = 529,022,748,260.25/544,568.06
  6. Step 6: Final answer
    x = 971,453.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.