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Finding the Third Proportional to 411,329.25 and 917,183.25

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Solution

The third proportional to 411,329.25 and 917,183.25 is: 2,045,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,329.25 : 917,183.25 = 917,183.25 : x
  2. Step 2: Convert to fraction form
    411,329.25/917,183.25 = 917,183.25/x
  3. Step 3: Cross multiply
    411,329.25x = 917,183.25 × 917,183.25
  4. Step 4: Simplify right side
    411,329.25x = 841,225,114,080.56
  5. Step 5: Solve for x
    x = 841,225,114,080.56/411,329.25
  6. Step 6: Final answer
    x = 2,045,138.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.