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Finding the Third Proportional to 229,038.75 and 491,935.50

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Solution

The third proportional to 229,038.75 and 491,935.50 is: 1,056,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,038.75 : 491,935.50 = 491,935.50 : x
  2. Step 2: Convert to fraction form
    229,038.75/491,935.50 = 491,935.50/x
  3. Step 3: Cross multiply
    229,038.75x = 491,935.50 × 491,935.50
  4. Step 4: Simplify right side
    229,038.75x = 242,000,536,160.25
  5. Step 5: Solve for x
    x = 242,000,536,160.25/229,038.75
  6. Step 6: Final answer
    x = 1,056,592.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.