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Finding the Third Proportional to 227,569.50 and 495,268.88

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Solution

The third proportional to 227,569.50 and 495,268.88 is: 1,077,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,569.50 : 495,268.88 = 495,268.88 : x
  2. Step 2: Convert to fraction form
    227,569.50/495,268.88 = 495,268.88/x
  3. Step 3: Cross multiply
    227,569.50x = 495,268.88 × 495,268.88
  4. Step 4: Simplify right side
    227,569.50x = 245,291,258,543.77
  5. Step 5: Solve for x
    x = 245,291,258,543.77/227,569.50
  6. Step 6: Final answer
    x = 1,077,874.05

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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.