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Finding the Third Proportional to 347,097 and 524,343

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Solution

The third proportional to 347,097 and 524,343 is: 792,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,097 : 524,343 = 524,343 : x
  2. Step 2: Convert to fraction form
    347,097/524,343 = 524,343/x
  3. Step 3: Cross multiply
    347,097x = 524,343 × 524,343
  4. Step 4: Simplify right side
    347,097x = 274,935,581,649
  5. Step 5: Solve for x
    x = 274,935,581,649/347,097
  6. Step 6: Final answer
    x = 792,100.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.