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Finding the Third Proportional to 601,804 and 884,278

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Solution

The third proportional to 601,804 and 884,278 is: 1,299,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,804 : 884,278 = 884,278 : x
  2. Step 2: Convert to fraction form
    601,804/884,278 = 884,278/x
  3. Step 3: Cross multiply
    601,804x = 884,278 × 884,278
  4. Step 4: Simplify right side
    601,804x = 781,947,581,284
  5. Step 5: Solve for x
    x = 781,947,581,284/601,804
  6. Step 6: Final answer
    x = 1,299,339.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.