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Finding the Third Proportional to 341,682 and 747,717

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Solution

The third proportional to 341,682 and 747,717 is: 1,636,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,682 : 747,717 = 747,717 : x
  2. Step 2: Convert to fraction form
    341,682/747,717 = 747,717/x
  3. Step 3: Cross multiply
    341,682x = 747,717 × 747,717
  4. Step 4: Simplify right side
    341,682x = 559,080,712,089
  5. Step 5: Solve for x
    x = 559,080,712,089/341,682
  6. Step 6: Final answer
    x = 1,636,260.36

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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.