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Finding the Third Proportional to 227,830 and 532,313

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Solution

The third proportional to 227,830 and 532,313 is: 1,243,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,830 : 532,313 = 532,313 : x
  2. Step 2: Convert to fraction form
    227,830/532,313 = 532,313/x
  3. Step 3: Cross multiply
    227,830x = 532,313 × 532,313
  4. Step 4: Simplify right side
    227,830x = 283,357,129,969
  5. Step 5: Solve for x
    x = 283,357,129,969/227,830
  6. Step 6: Final answer
    x = 1,243,721.77

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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.