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Finding the Third Proportional to 261,029 and 569,995

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Solution

The third proportional to 261,029 and 569,995 is: 1,244,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,029 : 569,995 = 569,995 : x
  2. Step 2: Convert to fraction form
    261,029/569,995 = 569,995/x
  3. Step 3: Cross multiply
    261,029x = 569,995 × 569,995
  4. Step 4: Simplify right side
    261,029x = 324,894,300,025
  5. Step 5: Solve for x
    x = 324,894,300,025/261,029
  6. Step 6: Final answer
    x = 1,244,667.45

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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.