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Finding the Third Proportional to 350,889 and 761,394

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Solution

The third proportional to 350,889 and 761,394 is: 1,652,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,889 : 761,394 = 761,394 : x
  2. Step 2: Convert to fraction form
    350,889/761,394 = 761,394/x
  3. Step 3: Cross multiply
    350,889x = 761,394 × 761,394
  4. Step 4: Simplify right side
    350,889x = 579,720,823,236
  5. Step 5: Solve for x
    x = 579,720,823,236/350,889
  6. Step 6: Final answer
    x = 1,652,148.75

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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.