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Finding the Third Proportional to 281,483.25 and 414,783

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Solution

The third proportional to 281,483.25 and 414,783 is: 611,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,483.25 : 414,783 = 414,783 : x
  2. Step 2: Convert to fraction form
    281,483.25/414,783 = 414,783/x
  3. Step 3: Cross multiply
    281,483.25x = 414,783 × 414,783
  4. Step 4: Simplify right side
    281,483.25x = 172,044,937,089
  5. Step 5: Solve for x
    x = 172,044,937,089/281,483.25
  6. Step 6: Final answer
    x = 611,208.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.