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Finding the Third Proportional to 458,804 and 674,818

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Solution

The third proportional to 458,804 and 674,818 is: 992,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,804 : 674,818 = 674,818 : x
  2. Step 2: Convert to fraction form
    458,804/674,818 = 674,818/x
  3. Step 3: Cross multiply
    458,804x = 674,818 × 674,818
  4. Step 4: Simplify right side
    458,804x = 455,379,333,124
  5. Step 5: Solve for x
    x = 455,379,333,124/458,804
  6. Step 6: Final answer
    x = 992,535.66

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