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Finding the Third Proportional to 273,314 and 596,367

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Solution

The third proportional to 273,314 and 596,367 is: 1,301,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,314 : 596,367 = 596,367 : x
  2. Step 2: Convert to fraction form
    273,314/596,367 = 596,367/x
  3. Step 3: Cross multiply
    273,314x = 596,367 × 596,367
  4. Step 4: Simplify right side
    273,314x = 355,653,598,689
  5. Step 5: Solve for x
    x = 355,653,598,689/273,314
  6. Step 6: Final answer
    x = 1,301,263.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.