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Finding the Third Proportional to 229,024 and 488,486

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Solution

The third proportional to 229,024 and 488,486 is: 1,041,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,024 : 488,486 = 488,486 : x
  2. Step 2: Convert to fraction form
    229,024/488,486 = 488,486/x
  3. Step 3: Cross multiply
    229,024x = 488,486 × 488,486
  4. Step 4: Simplify right side
    229,024x = 238,618,572,196
  5. Step 5: Solve for x
    x = 238,618,572,196/229,024
  6. Step 6: Final answer
    x = 1,041,893.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.