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Finding the Third Proportional to 505,328.63 and 1,095,643.13

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Solution

The third proportional to 505,328.63 and 1,095,643.13 is: 2,375,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,328.63 : 1,095,643.13 = 1,095,643.13 : x
  2. Step 2: Convert to fraction form
    505,328.63/1,095,643.13 = 1,095,643.13/x
  3. Step 3: Cross multiply
    505,328.63x = 1,095,643.13 × 1,095,643.13
  4. Step 4: Simplify right side
    505,328.63x = 1,200,433,857,359.77
  5. Step 5: Solve for x
    x = 1,200,433,857,359.77/505,328.63
  6. Step 6: Final answer
    x = 2,375,550.88

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Why These Related Problems?

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