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Finding the Third Proportional to 403,818 and 633,560

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Solution

The third proportional to 403,818 and 633,560 is: 994,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,818 : 633,560 = 633,560 : x
  2. Step 2: Convert to fraction form
    403,818/633,560 = 633,560/x
  3. Step 3: Cross multiply
    403,818x = 633,560 × 633,560
  4. Step 4: Simplify right side
    403,818x = 401,398,273,600
  5. Step 5: Solve for x
    x = 401,398,273,600/403,818
  6. Step 6: Final answer
    x = 994,007.88

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