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Finding the Third Proportional to 333,973.13 and 651,224.81

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Solution

The third proportional to 333,973.13 and 651,224.81 is: 1,269,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,973.13 : 651,224.81 = 651,224.81 : x
  2. Step 2: Convert to fraction form
    333,973.13/651,224.81 = 651,224.81/x
  3. Step 3: Cross multiply
    333,973.13x = 651,224.81 × 651,224.81
  4. Step 4: Simplify right side
    333,973.13x = 424,093,756,415.66
  5. Step 5: Solve for x
    x = 424,093,756,415.66/333,973.13
  6. Step 6: Final answer
    x = 1,269,843.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.