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Finding the Third Proportional to 237,602 and 512,044

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Solution

The third proportional to 237,602 and 512,044 is: 1,103,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,602 : 512,044 = 512,044 : x
  2. Step 2: Convert to fraction form
    237,602/512,044 = 512,044/x
  3. Step 3: Cross multiply
    237,602x = 512,044 × 512,044
  4. Step 4: Simplify right side
    237,602x = 262,189,057,936
  5. Step 5: Solve for x
    x = 262,189,057,936/237,602
  6. Step 6: Final answer
    x = 1,103,480.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.