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Finding the Third Proportional to 297,829 and 642,310

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Solution

The third proportional to 297,829 and 642,310 is: 1,385,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,829 : 642,310 = 642,310 : x
  2. Step 2: Convert to fraction form
    297,829/642,310 = 642,310/x
  3. Step 3: Cross multiply
    297,829x = 642,310 × 642,310
  4. Step 4: Simplify right side
    297,829x = 412,562,136,100
  5. Step 5: Solve for x
    x = 412,562,136,100/297,829
  6. Step 6: Final answer
    x = 1,385,231.58

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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.