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Finding the Third Proportional to 207,927 and 437,582.25

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Solution

The third proportional to 207,927 and 437,582.25 is: 920,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,927 : 437,582.25 = 437,582.25 : x
  2. Step 2: Convert to fraction form
    207,927/437,582.25 = 437,582.25/x
  3. Step 3: Cross multiply
    207,927x = 437,582.25 × 437,582.25
  4. Step 4: Simplify right side
    207,927x = 191,478,225,515.06
  5. Step 5: Solve for x
    x = 191,478,225,515.06/207,927
  6. Step 6: Final answer
    x = 920,891.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.