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Finding the Third Proportional to 598,862 and 900,723

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Solution

The third proportional to 598,862 and 900,723 is: 1,354,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,862 : 900,723 = 900,723 : x
  2. Step 2: Convert to fraction form
    598,862/900,723 = 900,723/x
  3. Step 3: Cross multiply
    598,862x = 900,723 × 900,723
  4. Step 4: Simplify right side
    598,862x = 811,301,922,729
  5. Step 5: Solve for x
    x = 811,301,922,729/598,862
  6. Step 6: Final answer
    x = 1,354,739.36

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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.