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Finding the Third Proportional to 413,772.75 and 632,688.75

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Solution

The third proportional to 413,772.75 and 632,688.75 is: 967,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,772.75 : 632,688.75 = 632,688.75 : x
  2. Step 2: Convert to fraction form
    413,772.75/632,688.75 = 632,688.75/x
  3. Step 3: Cross multiply
    413,772.75x = 632,688.75 × 632,688.75
  4. Step 4: Simplify right side
    413,772.75x = 400,295,054,376.56
  5. Step 5: Solve for x
    x = 400,295,054,376.56/413,772.75
  6. Step 6: Final answer
    x = 967,427.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.