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Finding the Third Proportional to 303,570 and 653,064

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Solution

The third proportional to 303,570 and 653,064 is: 1,404,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,570 : 653,064 = 653,064 : x
  2. Step 2: Convert to fraction form
    303,570/653,064 = 653,064/x
  3. Step 3: Cross multiply
    303,570x = 653,064 × 653,064
  4. Step 4: Simplify right side
    303,570x = 426,492,588,096
  5. Step 5: Solve for x
    x = 426,492,588,096/303,570
  6. Step 6: Final answer
    x = 1,404,923.37

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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.