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Finding the Third Proportional to 240,733 and 521,606

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Solution

The third proportional to 240,733 and 521,606 is: 1,130,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,733 : 521,606 = 521,606 : x
  2. Step 2: Convert to fraction form
    240,733/521,606 = 521,606/x
  3. Step 3: Cross multiply
    240,733x = 521,606 × 521,606
  4. Step 4: Simplify right side
    240,733x = 272,072,819,236
  5. Step 5: Solve for x
    x = 272,072,819,236/240,733
  6. Step 6: Final answer
    x = 1,130,184.97

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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.