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Finding the Third Proportional to 350,110 and 713,052

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Solution

The third proportional to 350,110 and 713,052 is: 1,452,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,110 : 713,052 = 713,052 : x
  2. Step 2: Convert to fraction form
    350,110/713,052 = 713,052/x
  3. Step 3: Cross multiply
    350,110x = 713,052 × 713,052
  4. Step 4: Simplify right side
    350,110x = 508,443,154,704
  5. Step 5: Solve for x
    x = 508,443,154,704/350,110
  6. Step 6: Final answer
    x = 1,452,238.31

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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.