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Finding the Third Proportional to 429,342.75 and 583,083.56

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Solution

The third proportional to 429,342.75 and 583,083.56 is: 791,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,342.75 : 583,083.56 = 583,083.56 : x
  2. Step 2: Convert to fraction form
    429,342.75/583,083.56 = 583,083.56/x
  3. Step 3: Cross multiply
    429,342.75x = 583,083.56 × 583,083.56
  4. Step 4: Simplify right side
    429,342.75x = 339,986,440,857.69
  5. Step 5: Solve for x
    x = 339,986,440,857.69/429,342.75
  6. Step 6: Final answer
    x = 791,876.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.