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Finding the Third Proportional to 403,650 and 633,258

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Solution

The third proportional to 403,650 and 633,258 is: 993,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,650 : 633,258 = 633,258 : x
  2. Step 2: Convert to fraction form
    403,650/633,258 = 633,258/x
  3. Step 3: Cross multiply
    403,650x = 633,258 × 633,258
  4. Step 4: Simplify right side
    403,650x = 401,015,694,564
  5. Step 5: Solve for x
    x = 401,015,694,564/403,650
  6. Step 6: Final answer
    x = 993,473.79

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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.