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Finding the Third Proportional to 282,240 and 603,280

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Solution

The third proportional to 282,240 and 603,280 is: 1,289,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,240 : 603,280 = 603,280 : x
  2. Step 2: Convert to fraction form
    282,240/603,280 = 603,280/x
  3. Step 3: Cross multiply
    282,240x = 603,280 × 603,280
  4. Step 4: Simplify right side
    282,240x = 363,946,758,400
  5. Step 5: Solve for x
    x = 363,946,758,400/282,240
  6. Step 6: Final answer
    x = 1,289,493.90

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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.