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Finding the Third Proportional to 333,451 and 701,748

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Solution

The third proportional to 333,451 and 701,748 is: 1,476,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,451 : 701,748 = 701,748 : x
  2. Step 2: Convert to fraction form
    333,451/701,748 = 701,748/x
  3. Step 3: Cross multiply
    333,451x = 701,748 × 701,748
  4. Step 4: Simplify right side
    333,451x = 492,450,255,504
  5. Step 5: Solve for x
    x = 492,450,255,504/333,451
  6. Step 6: Final answer
    x = 1,476,829.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.