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Finding the Third Proportional to 229,092 and 473,898

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Solution

The third proportional to 229,092 and 473,898 is: 980,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,092 : 473,898 = 473,898 : x
  2. Step 2: Convert to fraction form
    229,092/473,898 = 473,898/x
  3. Step 3: Cross multiply
    229,092x = 473,898 × 473,898
  4. Step 4: Simplify right side
    229,092x = 224,579,314,404
  5. Step 5: Solve for x
    x = 224,579,314,404/229,092
  6. Step 6: Final answer
    x = 980,301.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.