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Finding the Third Proportional to 299,685 and 421,560

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Solution

The third proportional to 299,685 and 421,560 is: 592,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,685 : 421,560 = 421,560 : x
  2. Step 2: Convert to fraction form
    299,685/421,560 = 421,560/x
  3. Step 3: Cross multiply
    299,685x = 421,560 × 421,560
  4. Step 4: Simplify right side
    299,685x = 177,712,833,600
  5. Step 5: Solve for x
    x = 177,712,833,600/299,685
  6. Step 6: Final answer
    x = 592,998.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.