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Finding the Third Proportional to 240,606 and 522,193.50

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Solution

The third proportional to 240,606 and 522,193.50 is: 1,133,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,606 : 522,193.50 = 522,193.50 : x
  2. Step 2: Convert to fraction form
    240,606/522,193.50 = 522,193.50/x
  3. Step 3: Cross multiply
    240,606x = 522,193.50 × 522,193.50
  4. Step 4: Simplify right side
    240,606x = 272,686,051,442.25
  5. Step 5: Solve for x
    x = 272,686,051,442.25/240,606
  6. Step 6: Final answer
    x = 1,133,330.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.