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Finding the Third Proportional to 349,581 and 529,097

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Solution

The third proportional to 349,581 and 529,097 is: 800,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,581 : 529,097 = 529,097 : x
  2. Step 2: Convert to fraction form
    349,581/529,097 = 529,097/x
  3. Step 3: Cross multiply
    349,581x = 529,097 × 529,097
  4. Step 4: Simplify right side
    349,581x = 279,943,635,409
  5. Step 5: Solve for x
    x = 279,943,635,409/349,581
  6. Step 6: Final answer
    x = 800,797.63

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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.