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Finding the Third Proportional to 254,355.75 and 559,946.25

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Solution

The third proportional to 254,355.75 and 559,946.25 is: 1,232,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,355.75 : 559,946.25 = 559,946.25 : x
  2. Step 2: Convert to fraction form
    254,355.75/559,946.25 = 559,946.25/x
  3. Step 3: Cross multiply
    254,355.75x = 559,946.25 × 559,946.25
  4. Step 4: Simplify right side
    254,355.75x = 313,539,802,889.06
  5. Step 5: Solve for x
    x = 313,539,802,889.06/254,355.75
  6. Step 6: Final answer
    x = 1,232,682.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.