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Finding the Third Proportional to 417,325.50 and 901,179

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Solution

The third proportional to 417,325.50 and 901,179 is: 1,946,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,325.50 : 901,179 = 901,179 : x
  2. Step 2: Convert to fraction form
    417,325.50/901,179 = 901,179/x
  3. Step 3: Cross multiply
    417,325.50x = 901,179 × 901,179
  4. Step 4: Simplify right side
    417,325.50x = 812,123,590,041
  5. Step 5: Solve for x
    x = 812,123,590,041/417,325.50
  6. Step 6: Final answer
    x = 1,946,019.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.