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Finding the Third Proportional to 342,076.50 and 529,723.13

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Solution

The third proportional to 342,076.50 and 529,723.13 is: 820,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,076.50 : 529,723.13 = 529,723.13 : x
  2. Step 2: Convert to fraction form
    342,076.50/529,723.13 = 529,723.13/x
  3. Step 3: Cross multiply
    342,076.50x = 529,723.13 × 529,723.13
  4. Step 4: Simplify right side
    342,076.50x = 280,606,589,159.77
  5. Step 5: Solve for x
    x = 280,606,589,159.77/342,076.50
  6. Step 6: Final answer
    x = 820,303.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.