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Finding the Third Proportional to 281,833 and 591,360

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Solution

The third proportional to 281,833 and 591,360 is: 1,240,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,833 : 591,360 = 591,360 : x
  2. Step 2: Convert to fraction form
    281,833/591,360 = 591,360/x
  3. Step 3: Cross multiply
    281,833x = 591,360 × 591,360
  4. Step 4: Simplify right side
    281,833x = 349,706,649,600
  5. Step 5: Solve for x
    x = 349,706,649,600/281,833
  6. Step 6: Final answer
    x = 1,240,829.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.