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Finding the Third Proportional to 285,338 and 602,505

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Solution

The third proportional to 285,338 and 602,505 is: 1,272,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,338 : 602,505 = 602,505 : x
  2. Step 2: Convert to fraction form
    285,338/602,505 = 602,505/x
  3. Step 3: Cross multiply
    285,338x = 602,505 × 602,505
  4. Step 4: Simplify right side
    285,338x = 363,012,275,025
  5. Step 5: Solve for x
    x = 363,012,275,025/285,338
  6. Step 6: Final answer
    x = 1,272,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.