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Finding the Third Proportional to 447,043 and 958,005

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Solution

The third proportional to 447,043 and 958,005 is: 2,052,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,043 : 958,005 = 958,005 : x
  2. Step 2: Convert to fraction form
    447,043/958,005 = 958,005/x
  3. Step 3: Cross multiply
    447,043x = 958,005 × 958,005
  4. Step 4: Simplify right side
    447,043x = 917,773,580,025
  5. Step 5: Solve for x
    x = 917,773,580,025/447,043
  6. Step 6: Final answer
    x = 2,052,987.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.