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Finding the Third Proportional to 229,325 and 486,402

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Solution

The third proportional to 229,325 and 486,402 is: 1,031,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,325 : 486,402 = 486,402 : x
  2. Step 2: Convert to fraction form
    229,325/486,402 = 486,402/x
  3. Step 3: Cross multiply
    229,325x = 486,402 × 486,402
  4. Step 4: Simplify right side
    229,325x = 236,586,905,604
  5. Step 5: Solve for x
    x = 236,586,905,604/229,325
  6. Step 6: Final answer
    x = 1,031,666.44

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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.