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Finding the Third Proportional to 350,894 and 761,404

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Solution

The third proportional to 350,894 and 761,404 is: 1,652,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,894 : 761,404 = 761,404 : x
  2. Step 2: Convert to fraction form
    350,894/761,404 = 761,404/x
  3. Step 3: Cross multiply
    350,894x = 761,404 × 761,404
  4. Step 4: Simplify right side
    350,894x = 579,736,051,216
  5. Step 5: Solve for x
    x = 579,736,051,216/350,894
  6. Step 6: Final answer
    x = 1,652,168.61

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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.