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Finding the Third Proportional to 414,965 and 658,736

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Solution

The third proportional to 414,965 and 658,736 is: 1,045,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,965 : 658,736 = 658,736 : x
  2. Step 2: Convert to fraction form
    414,965/658,736 = 658,736/x
  3. Step 3: Cross multiply
    414,965x = 658,736 × 658,736
  4. Step 4: Simplify right side
    414,965x = 433,933,117,696
  5. Step 5: Solve for x
    x = 433,933,117,696/414,965
  6. Step 6: Final answer
    x = 1,045,710.16

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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.