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Finding the Third Proportional to 223,308 and 486,702

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Solution

The third proportional to 223,308 and 486,702 is: 1,060,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,308 : 486,702 = 486,702 : x
  2. Step 2: Convert to fraction form
    223,308/486,702 = 486,702/x
  3. Step 3: Cross multiply
    223,308x = 486,702 × 486,702
  4. Step 4: Simplify right side
    223,308x = 236,878,836,804
  5. Step 5: Solve for x
    x = 236,878,836,804/223,308
  6. Step 6: Final answer
    x = 1,060,771.83

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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.