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Finding the Third Proportional to 232,308 and 508,884

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Solution

The third proportional to 232,308 and 508,884 is: 1,114,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,308 : 508,884 = 508,884 : x
  2. Step 2: Convert to fraction form
    232,308/508,884 = 508,884/x
  3. Step 3: Cross multiply
    232,308x = 508,884 × 508,884
  4. Step 4: Simplify right side
    232,308x = 258,962,925,456
  5. Step 5: Solve for x
    x = 258,962,925,456/232,308
  6. Step 6: Final answer
    x = 1,114,739.59

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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.