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Finding the Third Proportional to 405,235 and 938,045

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Solution

The third proportional to 405,235 and 938,045 is: 2,171,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,235 : 938,045 = 938,045 : x
  2. Step 2: Convert to fraction form
    405,235/938,045 = 938,045/x
  3. Step 3: Cross multiply
    405,235x = 938,045 × 938,045
  4. Step 4: Simplify right side
    405,235x = 879,928,422,025
  5. Step 5: Solve for x
    x = 879,928,422,025/405,235
  6. Step 6: Final answer
    x = 2,171,402.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.