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Finding the Third Proportional to 352,888 and 769,748

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Solution

The third proportional to 352,888 and 769,748 is: 1,679,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,888 : 769,748 = 769,748 : x
  2. Step 2: Convert to fraction form
    352,888/769,748 = 769,748/x
  3. Step 3: Cross multiply
    352,888x = 769,748 × 769,748
  4. Step 4: Simplify right side
    352,888x = 592,511,983,504
  5. Step 5: Solve for x
    x = 592,511,983,504/352,888
  6. Step 6: Final answer
    x = 1,679,036.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.