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Finding the Third Proportional to 199,627 and 458,160

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Solution

The third proportional to 199,627 and 458,160 is: 1,051,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,627 : 458,160 = 458,160 : x
  2. Step 2: Convert to fraction form
    199,627/458,160 = 458,160/x
  3. Step 3: Cross multiply
    199,627x = 458,160 × 458,160
  4. Step 4: Simplify right side
    199,627x = 209,910,585,600
  5. Step 5: Solve for x
    x = 209,910,585,600/199,627
  6. Step 6: Final answer
    x = 1,051,514.00

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.