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Finding the Third Proportional to 293,768 and 604,924

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Solution

The third proportional to 293,768 and 604,924 is: 1,245,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,768 : 604,924 = 604,924 : x
  2. Step 2: Convert to fraction form
    293,768/604,924 = 604,924/x
  3. Step 3: Cross multiply
    293,768x = 604,924 × 604,924
  4. Step 4: Simplify right side
    293,768x = 365,933,045,776
  5. Step 5: Solve for x
    x = 365,933,045,776/293,768
  6. Step 6: Final answer
    x = 1,245,653.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.