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Finding the Third Proportional to 287,264 and 436,080

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Solution

The third proportional to 287,264 and 436,080 is: 661,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,264 : 436,080 = 436,080 : x
  2. Step 2: Convert to fraction form
    287,264/436,080 = 436,080/x
  3. Step 3: Cross multiply
    287,264x = 436,080 × 436,080
  4. Step 4: Simplify right side
    287,264x = 190,165,766,400
  5. Step 5: Solve for x
    x = 190,165,766,400/287,264
  6. Step 6: Final answer
    x = 661,989.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.