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Finding the Third Proportional to 560,698 and 838,723

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Solution

The third proportional to 560,698 and 838,723 is: 1,254,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,698 : 838,723 = 838,723 : x
  2. Step 2: Convert to fraction form
    560,698/838,723 = 838,723/x
  3. Step 3: Cross multiply
    560,698x = 838,723 × 838,723
  4. Step 4: Simplify right side
    560,698x = 703,456,270,729
  5. Step 5: Solve for x
    x = 703,456,270,729/560,698
  6. Step 6: Final answer
    x = 1,254,608.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.