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Finding the Third Proportional to 273,173.63 and 413,569.13

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Solution

The third proportional to 273,173.63 and 413,569.13 is: 626,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,173.63 : 413,569.13 = 413,569.13 : x
  2. Step 2: Convert to fraction form
    273,173.63/413,569.13 = 413,569.13/x
  3. Step 3: Cross multiply
    273,173.63x = 413,569.13 × 413,569.13
  4. Step 4: Simplify right side
    273,173.63x = 171,039,421,153.27
  5. Step 5: Solve for x
    x = 171,039,421,153.27/273,173.63
  6. Step 6: Final answer
    x = 626,119.82

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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.