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Finding the Third Proportional to 384,016 and 574,488

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Solution

The third proportional to 384,016 and 574,488 is: 859,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,016 : 574,488 = 574,488 : x
  2. Step 2: Convert to fraction form
    384,016/574,488 = 574,488/x
  3. Step 3: Cross multiply
    384,016x = 574,488 × 574,488
  4. Step 4: Simplify right side
    384,016x = 330,036,462,144
  5. Step 5: Solve for x
    x = 330,036,462,144/384,016
  6. Step 6: Final answer
    x = 859,434.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.