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Finding the Third Proportional to 350,697 and 761,172

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Solution

The third proportional to 350,697 and 761,172 is: 1,652,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,697 : 761,172 = 761,172 : x
  2. Step 2: Convert to fraction form
    350,697/761,172 = 761,172/x
  3. Step 3: Cross multiply
    350,697x = 761,172 × 761,172
  4. Step 4: Simplify right side
    350,697x = 579,382,813,584
  5. Step 5: Solve for x
    x = 579,382,813,584/350,697
  6. Step 6: Final answer
    x = 1,652,089.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.