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Finding the Third Proportional to 229,310 and 500,270

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Solution

The third proportional to 229,310 and 500,270 is: 1,091,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,310 : 500,270 = 500,270 : x
  2. Step 2: Convert to fraction form
    229,310/500,270 = 500,270/x
  3. Step 3: Cross multiply
    229,310x = 500,270 × 500,270
  4. Step 4: Simplify right side
    229,310x = 250,270,072,900
  5. Step 5: Solve for x
    x = 250,270,072,900/229,310
  6. Step 6: Final answer
    x = 1,091,404.97

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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.