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Finding the Third Proportional to 349,458.50 and 756,042.50

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Solution

The third proportional to 349,458.50 and 756,042.50 is: 1,635,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,458.50 : 756,042.50 = 756,042.50 : x
  2. Step 2: Convert to fraction form
    349,458.50/756,042.50 = 756,042.50/x
  3. Step 3: Cross multiply
    349,458.50x = 756,042.50 × 756,042.50
  4. Step 4: Simplify right side
    349,458.50x = 571,600,261,806.25
  5. Step 5: Solve for x
    x = 571,600,261,806.25/349,458.50
  6. Step 6: Final answer
    x = 1,635,674.23

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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.