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Finding the Third Proportional to 269,060 and 566,002

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Solution

The third proportional to 269,060 and 566,002 is: 1,190,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,060 : 566,002 = 566,002 : x
  2. Step 2: Convert to fraction form
    269,060/566,002 = 566,002/x
  3. Step 3: Cross multiply
    269,060x = 566,002 × 566,002
  4. Step 4: Simplify right side
    269,060x = 320,358,264,004
  5. Step 5: Solve for x
    x = 320,358,264,004/269,060
  6. Step 6: Final answer
    x = 1,190,657.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.