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Finding the Third Proportional to 229,713 and 486,702

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Solution

The third proportional to 229,713 and 486,702 is: 1,031,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,713 : 486,702 = 486,702 : x
  2. Step 2: Convert to fraction form
    229,713/486,702 = 486,702/x
  3. Step 3: Cross multiply
    229,713x = 486,702 × 486,702
  4. Step 4: Simplify right side
    229,713x = 236,878,836,804
  5. Step 5: Solve for x
    x = 236,878,836,804/229,713
  6. Step 6: Final answer
    x = 1,031,194.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.