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Finding the Third Proportional to 350,927 and 718,454

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Solution

The third proportional to 350,927 and 718,454 is: 1,470,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,927 : 718,454 = 718,454 : x
  2. Step 2: Convert to fraction form
    350,927/718,454 = 718,454/x
  3. Step 3: Cross multiply
    350,927x = 718,454 × 718,454
  4. Step 4: Simplify right side
    350,927x = 516,176,150,116
  5. Step 5: Solve for x
    x = 516,176,150,116/350,927
  6. Step 6: Final answer
    x = 1,470,893.23

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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.