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Finding the Third Proportional to 594,096 and 1,277,755.50

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Solution

The third proportional to 594,096 and 1,277,755.50 is: 2,748,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,096 : 1,277,755.50 = 1,277,755.50 : x
  2. Step 2: Convert to fraction form
    594,096/1,277,755.50 = 1,277,755.50/x
  3. Step 3: Cross multiply
    594,096x = 1,277,755.50 × 1,277,755.50
  4. Step 4: Simplify right side
    594,096x = 1,632,659,117,780.25
  5. Step 5: Solve for x
    x = 1,632,659,117,780.25/594,096
  6. Step 6: Final answer
    x = 2,748,140.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.