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Finding the Third Proportional to 581,879 and 897,348

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Solution

The third proportional to 581,879 and 897,348 is: 1,383,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,879 : 897,348 = 897,348 : x
  2. Step 2: Convert to fraction form
    581,879/897,348 = 897,348/x
  3. Step 3: Cross multiply
    581,879x = 897,348 × 897,348
  4. Step 4: Simplify right side
    581,879x = 805,233,433,104
  5. Step 5: Solve for x
    x = 805,233,433,104/581,879
  6. Step 6: Final answer
    x = 1,383,850.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.