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Finding the Third Proportional to 401,038 and 835,248

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Solution

The third proportional to 401,038 and 835,248 is: 1,739,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038 : 835,248 = 835,248 : x
  2. Step 2: Convert to fraction form
    401,038/835,248 = 835,248/x
  3. Step 3: Cross multiply
    401,038x = 835,248 × 835,248
  4. Step 4: Simplify right side
    401,038x = 697,639,221,504
  5. Step 5: Solve for x
    x = 697,639,221,504/401,038
  6. Step 6: Final answer
    x = 1,739,583.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.