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Finding the Third Proportional to 344,136 and 504,918

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Solution

The third proportional to 344,136 and 504,918 is: 740,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,136 : 504,918 = 504,918 : x
  2. Step 2: Convert to fraction form
    344,136/504,918 = 504,918/x
  3. Step 3: Cross multiply
    344,136x = 504,918 × 504,918
  4. Step 4: Simplify right side
    344,136x = 254,942,186,724
  5. Step 5: Solve for x
    x = 254,942,186,724/344,136
  6. Step 6: Final answer
    x = 740,818.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.