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Finding the Third Proportional to 287,912 and 594,264

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Solution

The third proportional to 287,912 and 594,264 is: 1,226,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,912 : 594,264 = 594,264 : x
  2. Step 2: Convert to fraction form
    287,912/594,264 = 594,264/x
  3. Step 3: Cross multiply
    287,912x = 594,264 × 594,264
  4. Step 4: Simplify right side
    287,912x = 353,149,701,696
  5. Step 5: Solve for x
    x = 353,149,701,696/287,912
  6. Step 6: Final answer
    x = 1,226,589.03

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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.