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Finding the Third Proportional to 238,040 and 495,808

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Solution

The third proportional to 238,040 and 495,808 is: 1,032,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,040 : 495,808 = 495,808 : x
  2. Step 2: Convert to fraction form
    238,040/495,808 = 495,808/x
  3. Step 3: Cross multiply
    238,040x = 495,808 × 495,808
  4. Step 4: Simplify right side
    238,040x = 245,825,572,864
  5. Step 5: Solve for x
    x = 245,825,572,864/238,040
  6. Step 6: Final answer
    x = 1,032,706.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.