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Finding the Third Proportional to 405,178.50 and 879,045

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Solution

The third proportional to 405,178.50 and 879,045 is: 1,907,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,178.50 : 879,045 = 879,045 : x
  2. Step 2: Convert to fraction form
    405,178.50/879,045 = 879,045/x
  3. Step 3: Cross multiply
    405,178.50x = 879,045 × 879,045
  4. Step 4: Simplify right side
    405,178.50x = 772,720,112,025
  5. Step 5: Solve for x
    x = 772,720,112,025/405,178.50
  6. Step 6: Final answer
    x = 1,907,110.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.