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Finding the Third Proportional to 281,609 and 583,168

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Solution

The third proportional to 281,609 and 583,168 is: 1,207,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,609 : 583,168 = 583,168 : x
  2. Step 2: Convert to fraction form
    281,609/583,168 = 583,168/x
  3. Step 3: Cross multiply
    281,609x = 583,168 × 583,168
  4. Step 4: Simplify right side
    281,609x = 340,084,916,224
  5. Step 5: Solve for x
    x = 340,084,916,224/281,609
  6. Step 6: Final answer
    x = 1,207,649.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.