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Finding the Third Proportional to 315,388.69 and 471,776.91

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Solution

The third proportional to 315,388.69 and 471,776.91 is: 705,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,388.69 : 471,776.91 = 471,776.91 : x
  2. Step 2: Convert to fraction form
    315,388.69/471,776.91 = 471,776.91/x
  3. Step 3: Cross multiply
    315,388.69x = 471,776.91 × 471,776.91
  4. Step 4: Simplify right side
    315,388.69x = 222,573,449,270.82
  5. Step 5: Solve for x
    x = 222,573,449,270.82/315,388.69
  6. Step 6: Final answer
    x = 705,711.58

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