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Finding the Third Proportional to 285,582.94 and 627,208.31

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Solution

The third proportional to 285,582.94 and 627,208.31 is: 1,377,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,582.94 : 627,208.31 = 627,208.31 : x
  2. Step 2: Convert to fraction form
    285,582.94/627,208.31 = 627,208.31/x
  3. Step 3: Cross multiply
    285,582.94x = 627,208.31 × 627,208.31
  4. Step 4: Simplify right side
    285,582.94x = 393,390,267,269.10
  5. Step 5: Solve for x
    x = 393,390,267,269.10/285,582.94
  6. Step 6: Final answer
    x = 1,377,499.20

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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.