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Finding the Third Proportional to 301,136 and 594,656

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Solution

The third proportional to 301,136 and 594,656 is: 1,174,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,136 : 594,656 = 594,656 : x
  2. Step 2: Convert to fraction form
    301,136/594,656 = 594,656/x
  3. Step 3: Cross multiply
    301,136x = 594,656 × 594,656
  4. Step 4: Simplify right side
    301,136x = 353,615,758,336
  5. Step 5: Solve for x
    x = 353,615,758,336/301,136
  6. Step 6: Final answer
    x = 1,174,272.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.