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Finding the Third Proportional to 386,460.75 and 613,279.13

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Solution

The third proportional to 386,460.75 and 613,279.13 is: 973,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,460.75 : 613,279.13 = 613,279.13 : x
  2. Step 2: Convert to fraction form
    386,460.75/613,279.13 = 613,279.13/x
  3. Step 3: Cross multiply
    386,460.75x = 613,279.13 × 613,279.13
  4. Step 4: Simplify right side
    386,460.75x = 376,111,285,160.77
  5. Step 5: Solve for x
    x = 376,111,285,160.77/386,460.75
  6. Step 6: Final answer
    x = 973,219.88

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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.