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Finding the Third Proportional to 350,122 and 713,078

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Solution

The third proportional to 350,122 and 713,078 is: 1,452,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,122 : 713,078 = 713,078 : x
  2. Step 2: Convert to fraction form
    350,122/713,078 = 713,078/x
  3. Step 3: Cross multiply
    350,122x = 713,078 × 713,078
  4. Step 4: Simplify right side
    350,122x = 508,480,234,084
  5. Step 5: Solve for x
    x = 508,480,234,084/350,122
  6. Step 6: Final answer
    x = 1,452,294.44

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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.