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Finding the Third Proportional to 560,738 and 806,019

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Solution

The third proportional to 560,738 and 806,019 is: 1,158,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,738 : 806,019 = 806,019 : x
  2. Step 2: Convert to fraction form
    560,738/806,019 = 806,019/x
  3. Step 3: Cross multiply
    560,738x = 806,019 × 806,019
  4. Step 4: Simplify right side
    560,738x = 649,666,628,361
  5. Step 5: Solve for x
    x = 649,666,628,361/560,738
  6. Step 6: Final answer
    x = 1,158,592.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.