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Finding the Third Proportional to 512,061.75 and 737,596.13

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Solution

The third proportional to 512,061.75 and 737,596.13 is: 1,062,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,061.75 : 737,596.13 = 737,596.13 : x
  2. Step 2: Convert to fraction form
    512,061.75/737,596.13 = 737,596.13/x
  3. Step 3: Cross multiply
    512,061.75x = 737,596.13 × 737,596.13
  4. Step 4: Simplify right side
    512,061.75x = 544,048,043,615.02
  5. Step 5: Solve for x
    x = 544,048,043,615.02/512,061.75
  6. Step 6: Final answer
    x = 1,062,465.70

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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.