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Finding the Third Proportional to 281,076 and 609,180

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Solution

The third proportional to 281,076 and 609,180 is: 1,320,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,076 : 609,180 = 609,180 : x
  2. Step 2: Convert to fraction form
    281,076/609,180 = 609,180/x
  3. Step 3: Cross multiply
    281,076x = 609,180 × 609,180
  4. Step 4: Simplify right side
    281,076x = 371,100,272,400
  5. Step 5: Solve for x
    x = 371,100,272,400/281,076
  6. Step 6: Final answer
    x = 1,320,284.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.