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Finding the Third Proportional to 401,635 and 865,478

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Solution

The third proportional to 401,635 and 865,478 is: 1,865,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,635 : 865,478 = 865,478 : x
  2. Step 2: Convert to fraction form
    401,635/865,478 = 865,478/x
  3. Step 3: Cross multiply
    401,635x = 865,478 × 865,478
  4. Step 4: Simplify right side
    401,635x = 749,052,168,484
  5. Step 5: Solve for x
    x = 749,052,168,484/401,635
  6. Step 6: Final answer
    x = 1,865,007.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.