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Finding the Third Proportional to 347,085.56 and 524,326.78

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Solution

The third proportional to 347,085.56 and 524,326.78 is: 792,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,085.56 : 524,326.78 = 524,326.78 : x
  2. Step 2: Convert to fraction form
    347,085.56/524,326.78 = 524,326.78/x
  3. Step 3: Cross multiply
    347,085.56x = 524,326.78 × 524,326.78
  4. Step 4: Simplify right side
    347,085.56x = 274,918,573,535.99
  5. Step 5: Solve for x
    x = 274,918,573,535.99/347,085.56
  6. Step 6: Final answer
    x = 792,077.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.