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Finding the Third Proportional to 228,464.56 and 495,026.13

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Solution

The third proportional to 228,464.56 and 495,026.13 is: 1,072,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,464.56 : 495,026.13 = 495,026.13 : x
  2. Step 2: Convert to fraction form
    228,464.56/495,026.13 = 495,026.13/x
  3. Step 3: Cross multiply
    228,464.56x = 495,026.13 × 495,026.13
  4. Step 4: Simplify right side
    228,464.56x = 245,050,864,432.52
  5. Step 5: Solve for x
    x = 245,050,864,432.52/228,464.56
  6. Step 6: Final answer
    x = 1,072,599.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.