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Finding the Third Proportional to 350,829 and 768,429

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Solution

The third proportional to 350,829 and 768,429 is: 1,683,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,829 : 768,429 = 768,429 : x
  2. Step 2: Convert to fraction form
    350,829/768,429 = 768,429/x
  3. Step 3: Cross multiply
    350,829x = 768,429 × 768,429
  4. Step 4: Simplify right side
    350,829x = 590,483,128,041
  5. Step 5: Solve for x
    x = 590,483,128,041/350,829
  6. Step 6: Final answer
    x = 1,683,108.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.