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Finding the Third Proportional to 535,271.63 and 769,373.25

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Solution

The third proportional to 535,271.63 and 769,373.25 is: 1,105,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,271.63 : 769,373.25 = 769,373.25 : x
  2. Step 2: Convert to fraction form
    535,271.63/769,373.25 = 769,373.25/x
  3. Step 3: Cross multiply
    535,271.63x = 769,373.25 × 769,373.25
  4. Step 4: Simplify right side
    535,271.63x = 591,935,197,815.56
  5. Step 5: Solve for x
    x = 591,935,197,815.56/535,271.63
  6. Step 6: Final answer
    x = 1,105,859.47

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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.