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Finding the Third Proportional to 296,026.88 and 622,999.13

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Solution

The third proportional to 296,026.88 and 622,999.13 is: 1,311,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,026.88 : 622,999.13 = 622,999.13 : x
  2. Step 2: Convert to fraction form
    296,026.88/622,999.13 = 622,999.13/x
  3. Step 3: Cross multiply
    296,026.88x = 622,999.13 × 622,999.13
  4. Step 4: Simplify right side
    296,026.88x = 388,127,909,750.77
  5. Step 5: Solve for x
    x = 388,127,909,750.77/296,026.88
  6. Step 6: Final answer
    x = 1,311,123.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.