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Finding the Third Proportional to 591,051 and 936,058.50

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Solution

The third proportional to 591,051 and 936,058.50 is: 1,482,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,051 : 936,058.50 = 936,058.50 : x
  2. Step 2: Convert to fraction form
    591,051/936,058.50 = 936,058.50/x
  3. Step 3: Cross multiply
    591,051x = 936,058.50 × 936,058.50
  4. Step 4: Simplify right side
    591,051x = 876,205,515,422.25
  5. Step 5: Solve for x
    x = 876,205,515,422.25/591,051
  6. Step 6: Final answer
    x = 1,482,453.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.