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Finding the Third Proportional to 347,316.75 and 534,813.75

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Solution

The third proportional to 347,316.75 and 534,813.75 is: 823,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,316.75 : 534,813.75 = 534,813.75 : x
  2. Step 2: Convert to fraction form
    347,316.75/534,813.75 = 534,813.75/x
  3. Step 3: Cross multiply
    347,316.75x = 534,813.75 × 534,813.75
  4. Step 4: Simplify right side
    347,316.75x = 286,025,747,189.06
  5. Step 5: Solve for x
    x = 286,025,747,189.06/347,316.75
  6. Step 6: Final answer
    x = 823,529.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.