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Finding the Third Proportional to 413,936 and 632,784

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Solution

The third proportional to 413,936 and 632,784 is: 967,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,936 : 632,784 = 632,784 : x
  2. Step 2: Convert to fraction form
    413,936/632,784 = 632,784/x
  3. Step 3: Cross multiply
    413,936x = 632,784 × 632,784
  4. Step 4: Simplify right side
    413,936x = 400,415,590,656
  5. Step 5: Solve for x
    x = 400,415,590,656/413,936
  6. Step 6: Final answer
    x = 967,336.96

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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.