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Finding the Third Proportional to 262,774 and 574,616

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Solution

The third proportional to 262,774 and 574,616 is: 1,256,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,774 : 574,616 = 574,616 : x
  2. Step 2: Convert to fraction form
    262,774/574,616 = 574,616/x
  3. Step 3: Cross multiply
    262,774x = 574,616 × 574,616
  4. Step 4: Simplify right side
    262,774x = 330,183,547,456
  5. Step 5: Solve for x
    x = 330,183,547,456/262,774
  6. Step 6: Final answer
    x = 1,256,530.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.