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Finding the Third Proportional to 207,889 and 440,316.50

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Solution

The third proportional to 207,889 and 440,316.50 is: 932,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,889 : 440,316.50 = 440,316.50 : x
  2. Step 2: Convert to fraction form
    207,889/440,316.50 = 440,316.50/x
  3. Step 3: Cross multiply
    207,889x = 440,316.50 × 440,316.50
  4. Step 4: Simplify right side
    207,889x = 193,878,620,172.25
  5. Step 5: Solve for x
    x = 193,878,620,172.25/207,889
  6. Step 6: Final answer
    x = 932,606.44

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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.