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Finding the Third Proportional to 355,526 and 660,614

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Solution

The third proportional to 355,526 and 660,614 is: 1,227,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,526 : 660,614 = 660,614 : x
  2. Step 2: Convert to fraction form
    355,526/660,614 = 660,614/x
  3. Step 3: Cross multiply
    355,526x = 660,614 × 660,614
  4. Step 4: Simplify right side
    355,526x = 436,410,856,996
  5. Step 5: Solve for x
    x = 436,410,856,996/355,526
  6. Step 6: Final answer
    x = 1,227,507.57

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.