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Finding the Third Proportional to 411,206 and 616,810

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Solution

The third proportional to 411,206 and 616,810 is: 925,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,206 : 616,810 = 616,810 : x
  2. Step 2: Convert to fraction form
    411,206/616,810 = 616,810/x
  3. Step 3: Cross multiply
    411,206x = 616,810 × 616,810
  4. Step 4: Simplify right side
    411,206x = 380,454,576,100
  5. Step 5: Solve for x
    x = 380,454,576,100/411,206
  6. Step 6: Final answer
    x = 925,216.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.