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Finding the Third Proportional to 350,112 and 713,056

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Solution

The third proportional to 350,112 and 713,056 is: 1,452,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,112 : 713,056 = 713,056 : x
  2. Step 2: Convert to fraction form
    350,112/713,056 = 713,056/x
  3. Step 3: Cross multiply
    350,112x = 713,056 × 713,056
  4. Step 4: Simplify right side
    350,112x = 508,448,859,136
  5. Step 5: Solve for x
    x = 508,448,859,136/350,112
  6. Step 6: Final answer
    x = 1,452,246.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.