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Finding the Third Proportional to 296,875 and 604,118

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Solution

The third proportional to 296,875 and 604,118 is: 1,229,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,875 : 604,118 = 604,118 : x
  2. Step 2: Convert to fraction form
    296,875/604,118 = 604,118/x
  3. Step 3: Cross multiply
    296,875x = 604,118 × 604,118
  4. Step 4: Simplify right side
    296,875x = 364,958,557,924
  5. Step 5: Solve for x
    x = 364,958,557,924/296,875
  6. Step 6: Final answer
    x = 1,229,334.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.