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Finding the Third Proportional to 232,271 and 508,830

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Solution

The third proportional to 232,271 and 508,830 is: 1,114,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,271 : 508,830 = 508,830 : x
  2. Step 2: Convert to fraction form
    232,271/508,830 = 508,830/x
  3. Step 3: Cross multiply
    232,271x = 508,830 × 508,830
  4. Step 4: Simplify right side
    232,271x = 258,907,968,900
  5. Step 5: Solve for x
    x = 258,907,968,900/232,271
  6. Step 6: Final answer
    x = 1,114,680.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.