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Finding the Third Proportional to 224,579 and 486,543

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Solution

The third proportional to 224,579 and 486,543 is: 1,054,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,579 : 486,543 = 486,543 : x
  2. Step 2: Convert to fraction form
    224,579/486,543 = 486,543/x
  3. Step 3: Cross multiply
    224,579x = 486,543 × 486,543
  4. Step 4: Simplify right side
    224,579x = 236,724,090,849
  5. Step 5: Solve for x
    x = 236,724,090,849/224,579
  6. Step 6: Final answer
    x = 1,054,079.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.