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Finding the Third Proportional to 229,309 and 500,265

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Solution

The third proportional to 229,309 and 500,265 is: 1,091,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,309 : 500,265 = 500,265 : x
  2. Step 2: Convert to fraction form
    229,309/500,265 = 500,265/x
  3. Step 3: Cross multiply
    229,309x = 500,265 × 500,265
  4. Step 4: Simplify right side
    229,309x = 250,265,070,225
  5. Step 5: Solve for x
    x = 250,265,070,225/229,309
  6. Step 6: Final answer
    x = 1,091,387.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.