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Finding the Third Proportional to 598,924 and 897,462

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Solution

The third proportional to 598,924 and 897,462 is: 1,344,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,924 : 897,462 = 897,462 : x
  2. Step 2: Convert to fraction form
    598,924/897,462 = 897,462/x
  3. Step 3: Cross multiply
    598,924x = 897,462 × 897,462
  4. Step 4: Simplify right side
    598,924x = 805,438,041,444
  5. Step 5: Solve for x
    x = 805,438,041,444/598,924
  6. Step 6: Final answer
    x = 1,344,808.43

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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.