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Finding the Third Proportional to 297,006.75 and 651,012.19

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Solution

The third proportional to 297,006.75 and 651,012.19 is: 1,426,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,006.75 : 651,012.19 = 651,012.19 : x
  2. Step 2: Convert to fraction form
    297,006.75/651,012.19 = 651,012.19/x
  3. Step 3: Cross multiply
    297,006.75x = 651,012.19 × 651,012.19
  4. Step 4: Simplify right side
    297,006.75x = 423,816,868,273.54
  5. Step 5: Solve for x
    x = 423,816,868,273.54/297,006.75
  6. Step 6: Final answer
    x = 1,426,960.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.