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Finding the Third Proportional to 285,582.59 and 627,219.07

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Solution

The third proportional to 285,582.59 and 627,219.07 is: 1,377,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,582.59 : 627,219.07 = 627,219.07 : x
  2. Step 2: Convert to fraction form
    285,582.59/627,219.07 = 627,219.07/x
  3. Step 3: Cross multiply
    285,582.59x = 627,219.07 × 627,219.07
  4. Step 4: Simplify right side
    285,582.59x = 393,403,762,163.68
  5. Step 5: Solve for x
    x = 393,403,762,163.68/285,582.59
  6. Step 6: Final answer
    x = 1,377,548.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.