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Finding the Third Proportional to 207,929 and 478,880

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Solution

The third proportional to 207,929 and 478,880 is: 1,102,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,929 : 478,880 = 478,880 : x
  2. Step 2: Convert to fraction form
    207,929/478,880 = 478,880/x
  3. Step 3: Cross multiply
    207,929x = 478,880 × 478,880
  4. Step 4: Simplify right side
    207,929x = 229,326,054,400
  5. Step 5: Solve for x
    x = 229,326,054,400/207,929
  6. Step 6: Final answer
    x = 1,102,905.58

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.