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Finding the Third Proportional to 213,334 and 493,883

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Solution

The third proportional to 213,334 and 493,883 is: 1,143,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,334 : 493,883 = 493,883 : x
  2. Step 2: Convert to fraction form
    213,334/493,883 = 493,883/x
  3. Step 3: Cross multiply
    213,334x = 493,883 × 493,883
  4. Step 4: Simplify right side
    213,334x = 243,920,417,689
  5. Step 5: Solve for x
    x = 243,920,417,689/213,334
  6. Step 6: Final answer
    x = 1,143,373.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.