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Finding the Third Proportional to 299,514 and 651,513

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Solution

The third proportional to 299,514 and 651,513 is: 1,417,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,514 : 651,513 = 651,513 : x
  2. Step 2: Convert to fraction form
    299,514/651,513 = 651,513/x
  3. Step 3: Cross multiply
    299,514x = 651,513 × 651,513
  4. Step 4: Simplify right side
    299,514x = 424,469,189,169
  5. Step 5: Solve for x
    x = 424,469,189,169/299,514
  6. Step 6: Final answer
    x = 1,417,193.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.