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Finding the Third Proportional to 598,920 and 897,457

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Solution

The third proportional to 598,920 and 897,457 is: 1,344,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,920 : 897,457 = 897,457 : x
  2. Step 2: Convert to fraction form
    598,920/897,457 = 897,457/x
  3. Step 3: Cross multiply
    598,920x = 897,457 × 897,457
  4. Step 4: Simplify right side
    598,920x = 805,429,066,849
  5. Step 5: Solve for x
    x = 805,429,066,849/598,920
  6. Step 6: Final answer
    x = 1,344,802.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.