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Finding the Third Proportional to 565,642.50 and 1,219,837.50

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Solution

The third proportional to 565,642.50 and 1,219,837.50 is: 2,630,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,642.50 : 1,219,837.50 = 1,219,837.50 : x
  2. Step 2: Convert to fraction form
    565,642.50/1,219,837.50 = 1,219,837.50/x
  3. Step 3: Cross multiply
    565,642.50x = 1,219,837.50 × 1,219,837.50
  4. Step 4: Simplify right side
    565,642.50x = 1,488,003,526,406.25
  5. Step 5: Solve for x
    x = 1,488,003,526,406.25/565,642.50
  6. Step 6: Final answer
    x = 2,630,643.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.