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Finding the Third Proportional to 273,101.63 and 596,230.88

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Solution

The third proportional to 273,101.63 and 596,230.88 is: 1,301,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,101.63 : 596,230.88 = 596,230.88 : x
  2. Step 2: Convert to fraction form
    273,101.63/596,230.88 = 596,230.88/x
  3. Step 3: Cross multiply
    273,101.63x = 596,230.88 × 596,230.88
  4. Step 4: Simplify right side
    273,101.63x = 355,491,256,303.27
  5. Step 5: Solve for x
    x = 355,491,256,303.27/273,101.63
  6. Step 6: Final answer
    x = 1,301,681.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.