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Finding the Third Proportional to 350,106 and 713,044

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Solution

The third proportional to 350,106 and 713,044 is: 1,452,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,106 : 713,044 = 713,044 : x
  2. Step 2: Convert to fraction form
    350,106/713,044 = 713,044/x
  3. Step 3: Cross multiply
    350,106x = 713,044 × 713,044
  4. Step 4: Simplify right side
    350,106x = 508,431,745,936
  5. Step 5: Solve for x
    x = 508,431,745,936/350,106
  6. Step 6: Final answer
    x = 1,452,222.32

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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.