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Finding the Third Proportional to 575,328.38 and 862,992.56

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Solution

The third proportional to 575,328.38 and 862,992.56 is: 1,294,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,328.38 : 862,992.56 = 862,992.56 : x
  2. Step 2: Convert to fraction form
    575,328.38/862,992.56 = 862,992.56/x
  3. Step 3: Cross multiply
    575,328.38x = 862,992.56 × 862,992.56
  4. Step 4: Simplify right side
    575,328.38x = 744,756,162,930.32
  5. Step 5: Solve for x
    x = 744,756,162,930.32/575,328.38
  6. Step 6: Final answer
    x = 1,294,488.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.