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Finding the Third Proportional to 288,074 and 436,091

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Solution

The third proportional to 288,074 and 436,091 is: 660,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,074 : 436,091 = 436,091 : x
  2. Step 2: Convert to fraction form
    288,074/436,091 = 436,091/x
  3. Step 3: Cross multiply
    288,074x = 436,091 × 436,091
  4. Step 4: Simplify right side
    288,074x = 190,175,360,281
  5. Step 5: Solve for x
    x = 190,175,360,281/288,074
  6. Step 6: Final answer
    x = 660,161.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.