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Finding the Third Proportional to 229,028 and 491,968

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Solution

The third proportional to 229,028 and 491,968 is: 1,056,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,028 : 491,968 = 491,968 : x
  2. Step 2: Convert to fraction form
    229,028/491,968 = 491,968/x
  3. Step 3: Cross multiply
    229,028x = 491,968 × 491,968
  4. Step 4: Simplify right side
    229,028x = 242,032,513,024
  5. Step 5: Solve for x
    x = 242,032,513,024/229,028
  6. Step 6: Final answer
    x = 1,056,781.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.