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Finding the Third Proportional to 320,371 and 704,693

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Solution

The third proportional to 320,371 and 704,693 is: 1,550,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,371 : 704,693 = 704,693 : x
  2. Step 2: Convert to fraction form
    320,371/704,693 = 704,693/x
  3. Step 3: Cross multiply
    320,371x = 704,693 × 704,693
  4. Step 4: Simplify right side
    320,371x = 496,592,224,249
  5. Step 5: Solve for x
    x = 496,592,224,249/320,371
  6. Step 6: Final answer
    x = 1,550,053.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.