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Finding the Third Proportional to 301,868 and 656,152

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Solution

The third proportional to 301,868 and 656,152 is: 1,426,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,868 : 656,152 = 656,152 : x
  2. Step 2: Convert to fraction form
    301,868/656,152 = 656,152/x
  3. Step 3: Cross multiply
    301,868x = 656,152 × 656,152
  4. Step 4: Simplify right side
    301,868x = 430,535,447,104
  5. Step 5: Solve for x
    x = 430,535,447,104/301,868
  6. Step 6: Final answer
    x = 1,426,237.45

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Why These Related Problems?

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