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Finding the Third Proportional to 205,724 and 436,720

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Solution

The third proportional to 205,724 and 436,720 is: 927,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,724 : 436,720 = 436,720 : x
  2. Step 2: Convert to fraction form
    205,724/436,720 = 436,720/x
  3. Step 3: Cross multiply
    205,724x = 436,720 × 436,720
  4. Step 4: Simplify right side
    205,724x = 190,724,358,400
  5. Step 5: Solve for x
    x = 190,724,358,400/205,724
  6. Step 6: Final answer
    x = 927,088.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.