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Finding the Third Proportional to 229,356 and 502,992

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Solution

The third proportional to 229,356 and 502,992 is: 1,103,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,356 : 502,992 = 502,992 : x
  2. Step 2: Convert to fraction form
    229,356/502,992 = 502,992/x
  3. Step 3: Cross multiply
    229,356x = 502,992 × 502,992
  4. Step 4: Simplify right side
    229,356x = 253,000,952,064
  5. Step 5: Solve for x
    x = 253,000,952,064/229,356
  6. Step 6: Final answer
    x = 1,103,092.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.