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Finding the Third Proportional to 281,955 and 607,922

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Solution

The third proportional to 281,955 and 607,922 is: 1,310,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,955 : 607,922 = 607,922 : x
  2. Step 2: Convert to fraction form
    281,955/607,922 = 607,922/x
  3. Step 3: Cross multiply
    281,955x = 607,922 × 607,922
  4. Step 4: Simplify right side
    281,955x = 369,569,158,084
  5. Step 5: Solve for x
    x = 369,569,158,084/281,955
  6. Step 6: Final answer
    x = 1,310,738.09

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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.