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Finding the Third Proportional to 584,570.50 and 1,256,165.50

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Solution

The third proportional to 584,570.50 and 1,256,165.50 is: 2,699,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,570.50 : 1,256,165.50 = 1,256,165.50 : x
  2. Step 2: Convert to fraction form
    584,570.50/1,256,165.50 = 1,256,165.50/x
  3. Step 3: Cross multiply
    584,570.50x = 1,256,165.50 × 1,256,165.50
  4. Step 4: Simplify right side
    584,570.50x = 1,577,951,763,390.25
  5. Step 5: Solve for x
    x = 1,577,951,763,390.25/584,570.50
  6. Step 6: Final answer
    x = 2,699,335.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.