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Finding the Third Proportional to 403,824 and 625,208

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Solution

The third proportional to 403,824 and 625,208 is: 967,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,824 : 625,208 = 625,208 : x
  2. Step 2: Convert to fraction form
    403,824/625,208 = 625,208/x
  3. Step 3: Cross multiply
    403,824x = 625,208 × 625,208
  4. Step 4: Simplify right side
    403,824x = 390,885,043,264
  5. Step 5: Solve for x
    x = 390,885,043,264/403,824
  6. Step 6: Final answer
    x = 967,958.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.