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Finding the Third Proportional to 265,223.63 and 542,703.38

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Solution

The third proportional to 265,223.63 and 542,703.38 is: 1,110,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,223.63 : 542,703.38 = 542,703.38 : x
  2. Step 2: Convert to fraction form
    265,223.63/542,703.38 = 542,703.38/x
  3. Step 3: Cross multiply
    265,223.63x = 542,703.38 × 542,703.38
  4. Step 4: Simplify right side
    265,223.63x = 294,526,953,236.39
  5. Step 5: Solve for x
    x = 294,526,953,236.39/265,223.63
  6. Step 6: Final answer
    x = 1,110,485.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.