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Finding the Third Proportional to 350,103 and 713,043

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Solution

The third proportional to 350,103 and 713,043 is: 1,452,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,103 : 713,043 = 713,043 : x
  2. Step 2: Convert to fraction form
    350,103/713,043 = 713,043/x
  3. Step 3: Cross multiply
    350,103x = 713,043 × 713,043
  4. Step 4: Simplify right side
    350,103x = 508,430,319,849
  5. Step 5: Solve for x
    x = 508,430,319,849/350,103
  6. Step 6: Final answer
    x = 1,452,230.69

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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.