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Finding the Third Proportional to 350,106 and 713,058.75

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Solution

The third proportional to 350,106 and 713,058.75 is: 1,452,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,106 : 713,058.75 = 713,058.75 : x
  2. Step 2: Convert to fraction form
    350,106/713,058.75 = 713,058.75/x
  3. Step 3: Cross multiply
    350,106x = 713,058.75 × 713,058.75
  4. Step 4: Simplify right side
    350,106x = 508,452,780,951.56
  5. Step 5: Solve for x
    x = 508,452,780,951.56/350,106
  6. Step 6: Final answer
    x = 1,452,282.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.