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Finding the Third Proportional to 251,383.50 and 535,654

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Solution

The third proportional to 251,383.50 and 535,654 is: 1,141,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,383.50 : 535,654 = 535,654 : x
  2. Step 2: Convert to fraction form
    251,383.50/535,654 = 535,654/x
  3. Step 3: Cross multiply
    251,383.50x = 535,654 × 535,654
  4. Step 4: Simplify right side
    251,383.50x = 286,925,207,716
  5. Step 5: Solve for x
    x = 286,925,207,716/251,383.50
  6. Step 6: Final answer
    x = 1,141,384.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.