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Finding the Third Proportional to 345,022.03 and 707,255.30

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Solution

The third proportional to 345,022.03 and 707,255.30 is: 1,449,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,022.03 : 707,255.30 = 707,255.30 : x
  2. Step 2: Convert to fraction form
    345,022.03/707,255.30 = 707,255.30/x
  3. Step 3: Cross multiply
    345,022.03x = 707,255.30 × 707,255.30
  4. Step 4: Simplify right side
    345,022.03x = 500,210,054,957.74
  5. Step 5: Solve for x
    x = 500,210,054,957.74/345,022.03
  6. Step 6: Final answer
    x = 1,449,791.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.