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Finding the Third Proportional to 360,464.63 and 543,466.13

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Solution

The third proportional to 360,464.63 and 543,466.13 is: 819,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,464.63 : 543,466.13 = 543,466.13 : x
  2. Step 2: Convert to fraction form
    360,464.63/543,466.13 = 543,466.13/x
  3. Step 3: Cross multiply
    360,464.63x = 543,466.13 × 543,466.13
  4. Step 4: Simplify right side
    360,464.63x = 295,355,429,022.52
  5. Step 5: Solve for x
    x = 295,355,429,022.52/360,464.63
  6. Step 6: Final answer
    x = 819,374.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.