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Finding the Third Proportional to 403,870 and 633,610

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Solution

The third proportional to 403,870 and 633,610 is: 994,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,870 : 633,610 = 633,610 : x
  2. Step 2: Convert to fraction form
    403,870/633,610 = 633,610/x
  3. Step 3: Cross multiply
    403,870x = 633,610 × 633,610
  4. Step 4: Simplify right side
    403,870x = 401,461,632,100
  5. Step 5: Solve for x
    x = 401,461,632,100/403,870
  6. Step 6: Final answer
    x = 994,036.77

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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.