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Finding the Third Proportional to 350,978.06 and 513,304.59

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Solution

The third proportional to 350,978.06 and 513,304.59 is: 750,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,978.06 : 513,304.59 = 513,304.59 : x
  2. Step 2: Convert to fraction form
    350,978.06/513,304.59 = 513,304.59/x
  3. Step 3: Cross multiply
    350,978.06x = 513,304.59 × 513,304.59
  4. Step 4: Simplify right side
    350,978.06x = 263,481,605,964.85
  5. Step 5: Solve for x
    x = 263,481,605,964.85/350,978.06
  6. Step 6: Final answer
    x = 750,706.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.