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Finding the Third Proportional to 227,824 and 532,300

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Solution

The third proportional to 227,824 and 532,300 is: 1,243,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,824 : 532,300 = 532,300 : x
  2. Step 2: Convert to fraction form
    227,824/532,300 = 532,300/x
  3. Step 3: Cross multiply
    227,824x = 532,300 × 532,300
  4. Step 4: Simplify right side
    227,824x = 283,343,290,000
  5. Step 5: Solve for x
    x = 283,343,290,000/227,824
  6. Step 6: Final answer
    x = 1,243,693.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.