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Finding the Third Proportional to 350,976.84 and 513,302.72

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Solution

The third proportional to 350,976.84 and 513,302.72 is: 750,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,976.84 : 513,302.72 = 513,302.72 : x
  2. Step 2: Convert to fraction form
    350,976.84/513,302.72 = 513,302.72/x
  3. Step 3: Cross multiply
    350,976.84x = 513,302.72 × 513,302.72
  4. Step 4: Simplify right side
    350,976.84x = 263,479,681,076.14
  5. Step 5: Solve for x
    x = 263,479,681,076.14/350,976.84
  6. Step 6: Final answer
    x = 750,703.89

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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.