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Finding the Third Proportional to 240,194 and 556,637

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Solution

The third proportional to 240,194 and 556,637 is: 1,289,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,194 : 556,637 = 556,637 : x
  2. Step 2: Convert to fraction form
    240,194/556,637 = 556,637/x
  3. Step 3: Cross multiply
    240,194x = 556,637 × 556,637
  4. Step 4: Simplify right side
    240,194x = 309,844,749,769
  5. Step 5: Solve for x
    x = 309,844,749,769/240,194
  6. Step 6: Final answer
    x = 1,289,977.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.