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Finding the Third Proportional to 287,266 and 436,083

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Solution

The third proportional to 287,266 and 436,083 is: 661,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,266 : 436,083 = 436,083 : x
  2. Step 2: Convert to fraction form
    287,266/436,083 = 436,083/x
  3. Step 3: Cross multiply
    287,266x = 436,083 × 436,083
  4. Step 4: Simplify right side
    287,266x = 190,168,382,889
  5. Step 5: Solve for x
    x = 190,168,382,889/287,266
  6. Step 6: Final answer
    x = 661,994.05

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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.