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Finding the Third Proportional to 310,384 and 495,914

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Solution

The third proportional to 310,384 and 495,914 is: 792,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,384 : 495,914 = 495,914 : x
  2. Step 2: Convert to fraction form
    310,384/495,914 = 495,914/x
  3. Step 3: Cross multiply
    310,384x = 495,914 × 495,914
  4. Step 4: Simplify right side
    310,384x = 245,930,695,396
  5. Step 5: Solve for x
    x = 245,930,695,396/310,384
  6. Step 6: Final answer
    x = 792,343.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.