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Finding the Third Proportional to 270,576 and 603,264

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Solution

The third proportional to 270,576 and 603,264 is: 1,345,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,576 : 603,264 = 603,264 : x
  2. Step 2: Convert to fraction form
    270,576/603,264 = 603,264/x
  3. Step 3: Cross multiply
    270,576x = 603,264 × 603,264
  4. Step 4: Simplify right side
    270,576x = 363,927,453,696
  5. Step 5: Solve for x
    x = 363,927,453,696/270,576
  6. Step 6: Final answer
    x = 1,345,010.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.