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Finding the Third Proportional to 273,526 and 413,932

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Solution

The third proportional to 273,526 and 413,932 is: 626,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,526 : 413,932 = 413,932 : x
  2. Step 2: Convert to fraction form
    273,526/413,932 = 413,932/x
  3. Step 3: Cross multiply
    273,526x = 413,932 × 413,932
  4. Step 4: Simplify right side
    273,526x = 171,339,700,624
  5. Step 5: Solve for x
    x = 171,339,700,624/273,526
  6. Step 6: Final answer
    x = 626,411.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.