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Finding the Third Proportional to 535,090.50 and 828,179.25

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Solution

The third proportional to 535,090.50 and 828,179.25 is: 1,281,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,090.50 : 828,179.25 = 828,179.25 : x
  2. Step 2: Convert to fraction form
    535,090.50/828,179.25 = 828,179.25/x
  3. Step 3: Cross multiply
    535,090.50x = 828,179.25 × 828,179.25
  4. Step 4: Simplify right side
    535,090.50x = 685,880,870,130.56
  5. Step 5: Solve for x
    x = 685,880,870,130.56/535,090.50
  6. Step 6: Final answer
    x = 1,281,803.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.