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Finding the Third Proportional to 333,862 and 707,451

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Solution

The third proportional to 333,862 and 707,451 is: 1,499,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,862 : 707,451 = 707,451 : x
  2. Step 2: Convert to fraction form
    333,862/707,451 = 707,451/x
  3. Step 3: Cross multiply
    333,862x = 707,451 × 707,451
  4. Step 4: Simplify right side
    333,862x = 500,486,917,401
  5. Step 5: Solve for x
    x = 500,486,917,401/333,862
  6. Step 6: Final answer
    x = 1,499,083.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.