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Finding the Third Proportional to 281,554 and 607,118

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Solution

The third proportional to 281,554 and 607,118 is: 1,309,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,554 : 607,118 = 607,118 : x
  2. Step 2: Convert to fraction form
    281,554/607,118 = 607,118/x
  3. Step 3: Cross multiply
    281,554x = 607,118 × 607,118
  4. Step 4: Simplify right side
    281,554x = 368,592,265,924
  5. Step 5: Solve for x
    x = 368,592,265,924/281,554
  6. Step 6: Final answer
    x = 1,309,135.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.