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Finding the Third Proportional to 405,679 and 865,656

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Solution

The third proportional to 405,679 and 865,656 is: 1,847,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,679 : 865,656 = 865,656 : x
  2. Step 2: Convert to fraction form
    405,679/865,656 = 865,656/x
  3. Step 3: Cross multiply
    405,679x = 865,656 × 865,656
  4. Step 4: Simplify right side
    405,679x = 749,360,310,336
  5. Step 5: Solve for x
    x = 749,360,310,336/405,679
  6. Step 6: Final answer
    x = 1,847,175.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.