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Finding the Third Proportional to 230,004 and 495,000

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Solution

The third proportional to 230,004 and 495,000 is: 1,065,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,004 : 495,000 = 495,000 : x
  2. Step 2: Convert to fraction form
    230,004/495,000 = 495,000/x
  3. Step 3: Cross multiply
    230,004x = 495,000 × 495,000
  4. Step 4: Simplify right side
    230,004x = 245,025,000,000
  5. Step 5: Solve for x
    x = 245,025,000,000/230,004
  6. Step 6: Final answer
    x = 1,065,307.56

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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.