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Finding the Third Proportional to 333,799 and 721,300

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Solution

The third proportional to 333,799 and 721,300 is: 1,558,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,799 : 721,300 = 721,300 : x
  2. Step 2: Convert to fraction form
    333,799/721,300 = 721,300/x
  3. Step 3: Cross multiply
    333,799x = 721,300 × 721,300
  4. Step 4: Simplify right side
    333,799x = 520,273,690,000
  5. Step 5: Solve for x
    x = 520,273,690,000/333,799
  6. Step 6: Final answer
    x = 1,558,643.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.