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Finding the Third Proportional to 351,070.50 and 756,218.25

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Solution

The third proportional to 351,070.50 and 756,218.25 is: 1,628,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,070.50 : 756,218.25 = 756,218.25 : x
  2. Step 2: Convert to fraction form
    351,070.50/756,218.25 = 756,218.25/x
  3. Step 3: Cross multiply
    351,070.50x = 756,218.25 × 756,218.25
  4. Step 4: Simplify right side
    351,070.50x = 571,866,041,633.06
  5. Step 5: Solve for x
    x = 571,866,041,633.06/351,070.50
  6. Step 6: Final answer
    x = 1,628,920.81

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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.