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Finding the Third Proportional to 223,420 and 486,986

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Solution

The third proportional to 223,420 and 486,986 is: 1,061,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,420 : 486,986 = 486,986 : x
  2. Step 2: Convert to fraction form
    223,420/486,986 = 486,986/x
  3. Step 3: Cross multiply
    223,420x = 486,986 × 486,986
  4. Step 4: Simplify right side
    223,420x = 237,155,364,196
  5. Step 5: Solve for x
    x = 237,155,364,196/223,420
  6. Step 6: Final answer
    x = 1,061,477.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.