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Finding the Third Proportional to 304,426.69 and 657,633.94

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Solution

The third proportional to 304,426.69 and 657,633.94 is: 1,420,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,426.69 : 657,633.94 = 657,633.94 : x
  2. Step 2: Convert to fraction form
    304,426.69/657,633.94 = 657,633.94/x
  3. Step 3: Cross multiply
    304,426.69x = 657,633.94 × 657,633.94
  4. Step 4: Simplify right side
    304,426.69x = 432,482,395,751.75
  5. Step 5: Solve for x
    x = 432,482,395,751.75/304,426.69
  6. Step 6: Final answer
    x = 1,420,645.47

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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.