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Finding the Third Proportional to 271,480 and 584,580

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Solution

The third proportional to 271,480 and 584,580 is: 1,258,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,480 : 584,580 = 584,580 : x
  2. Step 2: Convert to fraction form
    271,480/584,580 = 584,580/x
  3. Step 3: Cross multiply
    271,480x = 584,580 × 584,580
  4. Step 4: Simplify right side
    271,480x = 341,733,776,400
  5. Step 5: Solve for x
    x = 341,733,776,400/271,480
  6. Step 6: Final answer
    x = 1,258,780.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.