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Finding the Third Proportional to 285,250 and 610,982

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Solution

The third proportional to 285,250 and 610,982 is: 1,308,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,250 : 610,982 = 610,982 : x
  2. Step 2: Convert to fraction form
    285,250/610,982 = 610,982/x
  3. Step 3: Cross multiply
    285,250x = 610,982 × 610,982
  4. Step 4: Simplify right side
    285,250x = 373,299,004,324
  5. Step 5: Solve for x
    x = 373,299,004,324/285,250
  6. Step 6: Final answer
    x = 1,308,673.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.