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Finding the Third Proportional to 528,203.50 and 1,138,536.50

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Solution

The third proportional to 528,203.50 and 1,138,536.50 is: 2,454,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,203.50 : 1,138,536.50 = 1,138,536.50 : x
  2. Step 2: Convert to fraction form
    528,203.50/1,138,536.50 = 1,138,536.50/x
  3. Step 3: Cross multiply
    528,203.50x = 1,138,536.50 × 1,138,536.50
  4. Step 4: Simplify right side
    528,203.50x = 1,296,265,361,832.25
  5. Step 5: Solve for x
    x = 1,296,265,361,832.25/528,203.50
  6. Step 6: Final answer
    x = 2,454,102.18

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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.