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Finding the Third Proportional to 598,851 and 880,749

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Solution

The third proportional to 598,851 and 880,749 is: 1,295,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,851 : 880,749 = 880,749 : x
  2. Step 2: Convert to fraction form
    598,851/880,749 = 880,749/x
  3. Step 3: Cross multiply
    598,851x = 880,749 × 880,749
  4. Step 4: Simplify right side
    598,851x = 775,718,801,001
  5. Step 5: Solve for x
    x = 775,718,801,001/598,851
  6. Step 6: Final answer
    x = 1,295,345.25

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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.