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Finding the Third Proportional to 342,076.50 and 536,604.75

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Solution

The third proportional to 342,076.50 and 536,604.75 is: 841,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,076.50 : 536,604.75 = 536,604.75 : x
  2. Step 2: Convert to fraction form
    342,076.50/536,604.75 = 536,604.75/x
  3. Step 3: Cross multiply
    342,076.50x = 536,604.75 × 536,604.75
  4. Step 4: Simplify right side
    342,076.50x = 287,944,657,722.56
  5. Step 5: Solve for x
    x = 287,944,657,722.56/342,076.50
  6. Step 6: Final answer
    x = 841,755.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.