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Finding the Third Proportional to 275,906 and 604,804

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Solution

The third proportional to 275,906 and 604,804 is: 1,325,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,906 : 604,804 = 604,804 : x
  2. Step 2: Convert to fraction form
    275,906/604,804 = 604,804/x
  3. Step 3: Cross multiply
    275,906x = 604,804 × 604,804
  4. Step 4: Simplify right side
    275,906x = 365,787,878,416
  5. Step 5: Solve for x
    x = 365,787,878,416/275,906
  6. Step 6: Final answer
    x = 1,325,769.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.