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Finding the Third Proportional to 485,317.50 and 1,054,468.50

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Solution

The third proportional to 485,317.50 and 1,054,468.50 is: 2,291,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,317.50 : 1,054,468.50 = 1,054,468.50 : x
  2. Step 2: Convert to fraction form
    485,317.50/1,054,468.50 = 1,054,468.50/x
  3. Step 3: Cross multiply
    485,317.50x = 1,054,468.50 × 1,054,468.50
  4. Step 4: Simplify right side
    485,317.50x = 1,111,903,817,492.25
  5. Step 5: Solve for x
    x = 1,111,903,817,492.25/485,317.50
  6. Step 6: Final answer
    x = 2,291,085.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.