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Finding the Third Proportional to 580,658 and 897,219

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Solution

The third proportional to 580,658 and 897,219 is: 1,386,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,658 : 897,219 = 897,219 : x
  2. Step 2: Convert to fraction form
    580,658/897,219 = 897,219/x
  3. Step 3: Cross multiply
    580,658x = 897,219 × 897,219
  4. Step 4: Simplify right side
    580,658x = 805,001,933,961
  5. Step 5: Solve for x
    x = 805,001,933,961/580,658
  6. Step 6: Final answer
    x = 1,386,361.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.