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Finding the Third Proportional to 508,048 and 1,136,384

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Solution

The third proportional to 508,048 and 1,136,384 is: 2,541,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,048 : 1,136,384 = 1,136,384 : x
  2. Step 2: Convert to fraction form
    508,048/1,136,384 = 1,136,384/x
  3. Step 3: Cross multiply
    508,048x = 1,136,384 × 1,136,384
  4. Step 4: Simplify right side
    508,048x = 1,291,368,595,456
  5. Step 5: Solve for x
    x = 1,291,368,595,456/508,048
  6. Step 6: Final answer
    x = 2,541,823.99

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.