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Finding the Third Proportional to 229,358 and 486,580

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Solution

The third proportional to 229,358 and 486,580 is: 1,032,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,358 : 486,580 = 486,580 : x
  2. Step 2: Convert to fraction form
    229,358/486,580 = 486,580/x
  3. Step 3: Cross multiply
    229,358x = 486,580 × 486,580
  4. Step 4: Simplify right side
    229,358x = 236,760,096,400
  5. Step 5: Solve for x
    x = 236,760,096,400/229,358
  6. Step 6: Final answer
    x = 1,032,273.11

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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.