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Finding the Third Proportional to 463,559.63 and 962,646.75

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Solution

The third proportional to 463,559.63 and 962,646.75 is: 1,999,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,559.63 : 962,646.75 = 962,646.75 : x
  2. Step 2: Convert to fraction form
    463,559.63/962,646.75 = 962,646.75/x
  3. Step 3: Cross multiply
    463,559.63x = 962,646.75 × 962,646.75
  4. Step 4: Simplify right side
    463,559.63x = 926,688,765,285.56
  5. Step 5: Solve for x
    x = 926,688,765,285.56/463,559.63
  6. Step 6: Final answer
    x = 1,999,071.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.