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Finding the Third Proportional to 403,706 and 960,017

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Solution

The third proportional to 403,706 and 960,017 is: 2,282,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,706 : 960,017 = 960,017 : x
  2. Step 2: Convert to fraction form
    403,706/960,017 = 960,017/x
  3. Step 3: Cross multiply
    403,706x = 960,017 × 960,017
  4. Step 4: Simplify right side
    403,706x = 921,632,640,289
  5. Step 5: Solve for x
    x = 921,632,640,289/403,706
  6. Step 6: Final answer
    x = 2,282,930.25

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.