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Finding the Third Proportional to 347,022.56 and 472,758.19

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Solution

The third proportional to 347,022.56 and 472,758.19 is: 644,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,022.56 : 472,758.19 = 472,758.19 : x
  2. Step 2: Convert to fraction form
    347,022.56/472,758.19 = 472,758.19/x
  3. Step 3: Cross multiply
    347,022.56x = 472,758.19 × 472,758.19
  4. Step 4: Simplify right side
    347,022.56x = 223,500,303,848.29
  5. Step 5: Solve for x
    x = 223,500,303,848.29/347,022.56
  6. Step 6: Final answer
    x = 644,051.22

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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.