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Finding the Third Proportional to 261,772 and 569,895

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Solution

The third proportional to 261,772 and 569,895 is: 1,240,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,772 : 569,895 = 569,895 : x
  2. Step 2: Convert to fraction form
    261,772/569,895 = 569,895/x
  3. Step 3: Cross multiply
    261,772x = 569,895 × 569,895
  4. Step 4: Simplify right side
    261,772x = 324,780,311,025
  5. Step 5: Solve for x
    x = 324,780,311,025/261,772
  6. Step 6: Final answer
    x = 1,240,699.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.