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Finding the Third Proportional to 463,664.25 and 977,143.50

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Solution

The third proportional to 463,664.25 and 977,143.50 is: 2,059,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,664.25 : 977,143.50 = 977,143.50 : x
  2. Step 2: Convert to fraction form
    463,664.25/977,143.50 = 977,143.50/x
  3. Step 3: Cross multiply
    463,664.25x = 977,143.50 × 977,143.50
  4. Step 4: Simplify right side
    463,664.25x = 954,809,419,592.25
  5. Step 5: Solve for x
    x = 954,809,419,592.25/463,664.25
  6. Step 6: Final answer
    x = 2,059,269.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.