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Finding the Third Proportional to 413,698 and 632,574

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Solution

The third proportional to 413,698 and 632,574 is: 967,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,698 : 632,574 = 632,574 : x
  2. Step 2: Convert to fraction form
    413,698/632,574 = 632,574/x
  3. Step 3: Cross multiply
    413,698x = 632,574 × 632,574
  4. Step 4: Simplify right side
    413,698x = 400,149,865,476
  5. Step 5: Solve for x
    x = 400,149,865,476/413,698
  6. Step 6: Final answer
    x = 967,251.15

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