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Finding the Third Proportional to 222,247.13 and 524,417.63

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Solution

The third proportional to 222,247.13 and 524,417.63 is: 1,237,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,247.13 : 524,417.63 = 524,417.63 : x
  2. Step 2: Convert to fraction form
    222,247.13/524,417.63 = 524,417.63/x
  3. Step 3: Cross multiply
    222,247.13x = 524,417.63 × 524,417.63
  4. Step 4: Simplify right side
    222,247.13x = 275,013,845,410.64
  5. Step 5: Solve for x
    x = 275,013,845,410.64/222,247.13
  6. Step 6: Final answer
    x = 1,237,423.64

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.