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Finding the Third Proportional to 222,510 and 493,065

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Solution

The third proportional to 222,510 and 493,065 is: 1,092,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,510 : 493,065 = 493,065 : x
  2. Step 2: Convert to fraction form
    222,510/493,065 = 493,065/x
  3. Step 3: Cross multiply
    222,510x = 493,065 × 493,065
  4. Step 4: Simplify right side
    222,510x = 243,113,094,225
  5. Step 5: Solve for x
    x = 243,113,094,225/222,510
  6. Step 6: Final answer
    x = 1,092,594.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.