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Finding the Third Proportional to 209,038 and 458,108

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Solution

The third proportional to 209,038 and 458,108 is: 1,003,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,038 : 458,108 = 458,108 : x
  2. Step 2: Convert to fraction form
    209,038/458,108 = 458,108/x
  3. Step 3: Cross multiply
    209,038x = 458,108 × 458,108
  4. Step 4: Simplify right side
    209,038x = 209,862,939,664
  5. Step 5: Solve for x
    x = 209,862,939,664/209,038
  6. Step 6: Final answer
    x = 1,003,946.36

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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.