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Finding the Third Proportional to 403,864 and 633,580

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Solution

The third proportional to 403,864 and 633,580 is: 993,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,864 : 633,580 = 633,580 : x
  2. Step 2: Convert to fraction form
    403,864/633,580 = 633,580/x
  3. Step 3: Cross multiply
    403,864x = 633,580 × 633,580
  4. Step 4: Simplify right side
    403,864x = 401,423,616,400
  5. Step 5: Solve for x
    x = 401,423,616,400/403,864
  6. Step 6: Final answer
    x = 993,957.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.