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Finding the Third Proportional to 474,297.38 and 1,035,271.50

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Solution

The third proportional to 474,297.38 and 1,035,271.50 is: 2,259,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,297.38 : 1,035,271.50 = 1,035,271.50 : x
  2. Step 2: Convert to fraction form
    474,297.38/1,035,271.50 = 1,035,271.50/x
  3. Step 3: Cross multiply
    474,297.38x = 1,035,271.50 × 1,035,271.50
  4. Step 4: Simplify right side
    474,297.38x = 1,071,787,078,712.25
  5. Step 5: Solve for x
    x = 1,071,787,078,712.25/474,297.38
  6. Step 6: Final answer
    x = 2,259,736.48

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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.