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Finding the Third Proportional to 598,911 and 880,852

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Solution

The third proportional to 598,911 and 880,852 is: 1,295,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,911 : 880,852 = 880,852 : x
  2. Step 2: Convert to fraction form
    598,911/880,852 = 880,852/x
  3. Step 3: Cross multiply
    598,911x = 880,852 × 880,852
  4. Step 4: Simplify right side
    598,911x = 775,900,245,904
  5. Step 5: Solve for x
    x = 775,900,245,904/598,911
  6. Step 6: Final answer
    x = 1,295,518.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.