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Finding the Third Proportional to 512,051.63 and 737,592.75

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Solution

The third proportional to 512,051.63 and 737,592.75 is: 1,062,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,051.63 : 737,592.75 = 737,592.75 : x
  2. Step 2: Convert to fraction form
    512,051.63/737,592.75 = 737,592.75/x
  3. Step 3: Cross multiply
    512,051.63x = 737,592.75 × 737,592.75
  4. Step 4: Simplify right side
    512,051.63x = 544,043,064,852.56
  5. Step 5: Solve for x
    x = 544,043,064,852.56/512,051.63
  6. Step 6: Final answer
    x = 1,062,476.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.