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Finding the Third Proportional to 566,980 and 853,032

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Solution

The third proportional to 566,980 and 853,032 is: 1,283,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,980 : 853,032 = 853,032 : x
  2. Step 2: Convert to fraction form
    566,980/853,032 = 853,032/x
  3. Step 3: Cross multiply
    566,980x = 853,032 × 853,032
  4. Step 4: Simplify right side
    566,980x = 727,663,593,024
  5. Step 5: Solve for x
    x = 727,663,593,024/566,980
  6. Step 6: Final answer
    x = 1,283,402.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.