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Finding the Third Proportional to 434,682 and 691,658

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Solution

The third proportional to 434,682 and 691,658 is: 1,100,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,682 : 691,658 = 691,658 : x
  2. Step 2: Convert to fraction form
    434,682/691,658 = 691,658/x
  3. Step 3: Cross multiply
    434,682x = 691,658 × 691,658
  4. Step 4: Simplify right side
    434,682x = 478,390,788,964
  5. Step 5: Solve for x
    x = 478,390,788,964/434,682
  6. Step 6: Final answer
    x = 1,100,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.