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Finding the Third Proportional to 229,419 and 503,158.50

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Solution

The third proportional to 229,419 and 503,158.50 is: 1,103,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,419 : 503,158.50 = 503,158.50 : x
  2. Step 2: Convert to fraction form
    229,419/503,158.50 = 503,158.50/x
  3. Step 3: Cross multiply
    229,419x = 503,158.50 × 503,158.50
  4. Step 4: Simplify right side
    229,419x = 253,168,476,122.25
  5. Step 5: Solve for x
    x = 253,168,476,122.25/229,419
  6. Step 6: Final answer
    x = 1,103,520.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.