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Finding the Third Proportional to 598,926 and 897,464

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Solution

The third proportional to 598,926 and 897,464 is: 1,344,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,926 : 897,464 = 897,464 : x
  2. Step 2: Convert to fraction form
    598,926/897,464 = 897,464/x
  3. Step 3: Cross multiply
    598,926x = 897,464 × 897,464
  4. Step 4: Simplify right side
    598,926x = 805,441,631,296
  5. Step 5: Solve for x
    x = 805,441,631,296/598,926
  6. Step 6: Final answer
    x = 1,344,809.93

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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.