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Finding the Third Proportional to 238,946.63 and 505,573.31

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Solution

The third proportional to 238,946.63 and 505,573.31 is: 1,069,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,946.63 : 505,573.31 = 505,573.31 : x
  2. Step 2: Convert to fraction form
    238,946.63/505,573.31 = 505,573.31/x
  3. Step 3: Cross multiply
    238,946.63x = 505,573.31 × 505,573.31
  4. Step 4: Simplify right side
    238,946.63x = 255,604,374,312.22
  5. Step 5: Solve for x
    x = 255,604,374,312.22/238,946.63
  6. Step 6: Final answer
    x = 1,069,713.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.