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Finding the Third Proportional to 598,867 and 900,730

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Solution

The third proportional to 598,867 and 900,730 is: 1,354,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,867 : 900,730 = 900,730 : x
  2. Step 2: Convert to fraction form
    598,867/900,730 = 900,730/x
  3. Step 3: Cross multiply
    598,867x = 900,730 × 900,730
  4. Step 4: Simplify right side
    598,867x = 811,314,532,900
  5. Step 5: Solve for x
    x = 811,314,532,900/598,867
  6. Step 6: Final answer
    x = 1,354,749.11

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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.