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Finding the Third Proportional to 401,498 and 622,047

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Solution

The third proportional to 401,498 and 622,047 is: 963,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,498 : 622,047 = 622,047 : x
  2. Step 2: Convert to fraction form
    401,498/622,047 = 622,047/x
  3. Step 3: Cross multiply
    401,498x = 622,047 × 622,047
  4. Step 4: Simplify right side
    401,498x = 386,942,470,209
  5. Step 5: Solve for x
    x = 386,942,470,209/401,498
  6. Step 6: Final answer
    x = 963,746.94

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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.