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Finding the Third Proportional to 333,394 and 720,098

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Solution

The third proportional to 333,394 and 720,098 is: 1,555,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,394 : 720,098 = 720,098 : x
  2. Step 2: Convert to fraction form
    333,394/720,098 = 720,098/x
  3. Step 3: Cross multiply
    333,394x = 720,098 × 720,098
  4. Step 4: Simplify right side
    333,394x = 518,541,129,604
  5. Step 5: Solve for x
    x = 518,541,129,604/333,394
  6. Step 6: Final answer
    x = 1,555,340.32

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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.