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Finding the Third Proportional to 302,266.69 and 651,736.13

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Solution

The third proportional to 302,266.69 and 651,736.13 is: 1,405,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,266.69 : 651,736.13 = 651,736.13 : x
  2. Step 2: Convert to fraction form
    302,266.69/651,736.13 = 651,736.13/x
  3. Step 3: Cross multiply
    302,266.69x = 651,736.13 × 651,736.13
  4. Step 4: Simplify right side
    302,266.69x = 424,759,976,630.02
  5. Step 5: Solve for x
    x = 424,759,976,630.02/302,266.69
  6. Step 6: Final answer
    x = 1,405,249.05

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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.