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Finding the Third Proportional to 333,576 and 717,813

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Solution

The third proportional to 333,576 and 717,813 is: 1,544,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,576 : 717,813 = 717,813 : x
  2. Step 2: Convert to fraction form
    333,576/717,813 = 717,813/x
  3. Step 3: Cross multiply
    333,576x = 717,813 × 717,813
  4. Step 4: Simplify right side
    333,576x = 515,255,502,969
  5. Step 5: Solve for x
    x = 515,255,502,969/333,576
  6. Step 6: Final answer
    x = 1,544,642.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.