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Finding the Third Proportional to 270,792 and 580,014

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Solution

The third proportional to 270,792 and 580,014 is: 1,242,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,792 : 580,014 = 580,014 : x
  2. Step 2: Convert to fraction form
    270,792/580,014 = 580,014/x
  3. Step 3: Cross multiply
    270,792x = 580,014 × 580,014
  4. Step 4: Simplify right side
    270,792x = 336,416,240,196
  5. Step 5: Solve for x
    x = 336,416,240,196/270,792
  6. Step 6: Final answer
    x = 1,242,341.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.