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Finding the Third Proportional to 401,044 and 835,258

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Solution

The third proportional to 401,044 and 835,258 is: 1,739,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,044 : 835,258 = 835,258 : x
  2. Step 2: Convert to fraction form
    401,044/835,258 = 835,258/x
  3. Step 3: Cross multiply
    401,044x = 835,258 × 835,258
  4. Step 4: Simplify right side
    401,044x = 697,655,926,564
  5. Step 5: Solve for x
    x = 697,655,926,564/401,044
  6. Step 6: Final answer
    x = 1,739,599.46

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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.