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Finding the Third Proportional to 619,384 and 957,304

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Solution

The third proportional to 619,384 and 957,304 is: 1,479,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,384 : 957,304 = 957,304 : x
  2. Step 2: Convert to fraction form
    619,384/957,304 = 957,304/x
  3. Step 3: Cross multiply
    619,384x = 957,304 × 957,304
  4. Step 4: Simplify right side
    619,384x = 916,430,948,416
  5. Step 5: Solve for x
    x = 916,430,948,416/619,384
  6. Step 6: Final answer
    x = 1,479,584.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.