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Finding the Third Proportional to 271,943 and 596,152

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Solution

The third proportional to 271,943 and 596,152 is: 1,306,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,943 : 596,152 = 596,152 : x
  2. Step 2: Convert to fraction form
    271,943/596,152 = 596,152/x
  3. Step 3: Cross multiply
    271,943x = 596,152 × 596,152
  4. Step 4: Simplify right side
    271,943x = 355,397,207,104
  5. Step 5: Solve for x
    x = 355,397,207,104/271,943
  6. Step 6: Final answer
    x = 1,306,881.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.