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Finding the Third Proportional to 475,164.75 and 1,033,982.06

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Solution

The third proportional to 475,164.75 and 1,033,982.06 is: 2,249,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,164.75 : 1,033,982.06 = 1,033,982.06 : x
  2. Step 2: Convert to fraction form
    475,164.75/1,033,982.06 = 1,033,982.06/x
  3. Step 3: Cross multiply
    475,164.75x = 1,033,982.06 × 1,033,982.06
  4. Step 4: Simplify right side
    475,164.75x = 1,069,118,905,571.75
  5. Step 5: Solve for x
    x = 1,069,118,905,571.75/475,164.75
  6. Step 6: Final answer
    x = 2,249,996.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.