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Finding the Third Proportional to 350,642 and 757,316

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Solution

The third proportional to 350,642 and 757,316 is: 1,635,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,642 : 757,316 = 757,316 : x
  2. Step 2: Convert to fraction form
    350,642/757,316 = 757,316/x
  3. Step 3: Cross multiply
    350,642x = 757,316 × 757,316
  4. Step 4: Simplify right side
    350,642x = 573,527,523,856
  5. Step 5: Solve for x
    x = 573,527,523,856/350,642
  6. Step 6: Final answer
    x = 1,635,649.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.