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Finding the Third Proportional to 416,096 and 778,888

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Solution

The third proportional to 416,096 and 778,888 is: 1,457,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,096 : 778,888 = 778,888 : x
  2. Step 2: Convert to fraction form
    416,096/778,888 = 778,888/x
  3. Step 3: Cross multiply
    416,096x = 778,888 × 778,888
  4. Step 4: Simplify right side
    416,096x = 606,666,516,544
  5. Step 5: Solve for x
    x = 606,666,516,544/416,096
  6. Step 6: Final answer
    x = 1,457,996.51

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.