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Finding the Third Proportional to 271,904 and 596,336

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Solution

The third proportional to 271,904 and 596,336 is: 1,307,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904 : 596,336 = 596,336 : x
  2. Step 2: Convert to fraction form
    271,904/596,336 = 596,336/x
  3. Step 3: Cross multiply
    271,904x = 596,336 × 596,336
  4. Step 4: Simplify right side
    271,904x = 355,616,624,896
  5. Step 5: Solve for x
    x = 355,616,624,896/271,904
  6. Step 6: Final answer
    x = 1,307,875.67

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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.