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Finding the Third Proportional to 229,258 and 502,805

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Solution

The third proportional to 229,258 and 502,805 is: 1,102,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,258 : 502,805 = 502,805 : x
  2. Step 2: Convert to fraction form
    229,258/502,805 = 502,805/x
  3. Step 3: Cross multiply
    229,258x = 502,805 × 502,805
  4. Step 4: Simplify right side
    229,258x = 252,812,868,025
  5. Step 5: Solve for x
    x = 252,812,868,025/229,258
  6. Step 6: Final answer
    x = 1,102,743.93

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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.