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Finding the Third Proportional to 323,007 and 495,807

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Solution

The third proportional to 323,007 and 495,807 is: 761,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,007 : 495,807 = 495,807 : x
  2. Step 2: Convert to fraction form
    323,007/495,807 = 495,807/x
  3. Step 3: Cross multiply
    323,007x = 495,807 × 495,807
  4. Step 4: Simplify right side
    323,007x = 245,824,581,249
  5. Step 5: Solve for x
    x = 245,824,581,249/323,007
  6. Step 6: Final answer
    x = 761,050.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.