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Finding the Third Proportional to 505,594.25 and 1,088,261.02

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Solution

The third proportional to 505,594.25 and 1,088,261.02 is: 2,342,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,594.25 : 1,088,261.02 = 1,088,261.02 : x
  2. Step 2: Convert to fraction form
    505,594.25/1,088,261.02 = 1,088,261.02/x
  3. Step 3: Cross multiply
    505,594.25x = 1,088,261.02 × 1,088,261.02
  4. Step 4: Simplify right side
    505,594.25x = 1,184,312,057,258.83
  5. Step 5: Solve for x
    x = 1,184,312,057,258.83/505,594.25
  6. Step 6: Final answer
    x = 2,342,416.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.