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Finding the Third Proportional to 587,088 and 933,012

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Solution

The third proportional to 587,088 and 933,012 is: 1,482,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,088 : 933,012 = 933,012 : x
  2. Step 2: Convert to fraction form
    587,088/933,012 = 933,012/x
  3. Step 3: Cross multiply
    587,088x = 933,012 × 933,012
  4. Step 4: Simplify right side
    587,088x = 870,511,392,144
  5. Step 5: Solve for x
    x = 870,511,392,144/587,088
  6. Step 6: Final answer
    x = 1,482,761.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.