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Finding the Third Proportional to 241,232.08 and 514,525.92

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Solution

The third proportional to 241,232.08 and 514,525.92 is: 1,097,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,232.08 : 514,525.92 = 514,525.92 : x
  2. Step 2: Convert to fraction form
    241,232.08/514,525.92 = 514,525.92/x
  3. Step 3: Cross multiply
    241,232.08x = 514,525.92 × 514,525.92
  4. Step 4: Simplify right side
    241,232.08x = 264,736,924,281.32
  5. Step 5: Solve for x
    x = 264,736,924,281.32/241,232.08
  6. Step 6: Final answer
    x = 1,097,436.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.