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Finding the Third Proportional to 329,530.50 and 527,460.75

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Solution

The third proportional to 329,530.50 and 527,460.75 is: 844,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,530.50 : 527,460.75 = 527,460.75 : x
  2. Step 2: Convert to fraction form
    329,530.50/527,460.75 = 527,460.75/x
  3. Step 3: Cross multiply
    329,530.50x = 527,460.75 × 527,460.75
  4. Step 4: Simplify right side
    329,530.50x = 278,214,842,790.56
  5. Step 5: Solve for x
    x = 278,214,842,790.56/329,530.50
  6. Step 6: Final answer
    x = 844,276.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.