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Finding the Third Proportional to 358,769 and 769,054

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Solution

The third proportional to 358,769 and 769,054 is: 1,648,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,769 : 769,054 = 769,054 : x
  2. Step 2: Convert to fraction form
    358,769/769,054 = 769,054/x
  3. Step 3: Cross multiply
    358,769x = 769,054 × 769,054
  4. Step 4: Simplify right side
    358,769x = 591,444,054,916
  5. Step 5: Solve for x
    x = 591,444,054,916/358,769
  6. Step 6: Final answer
    x = 1,648,537.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.