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Finding the Third Proportional to 262,755 and 574,585

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Solution

The third proportional to 262,755 and 574,585 is: 1,256,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,755 : 574,585 = 574,585 : x
  2. Step 2: Convert to fraction form
    262,755/574,585 = 574,585/x
  3. Step 3: Cross multiply
    262,755x = 574,585 × 574,585
  4. Step 4: Simplify right side
    262,755x = 330,147,922,225
  5. Step 5: Solve for x
    x = 330,147,922,225/262,755
  6. Step 6: Final answer
    x = 1,256,485.78

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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.