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Finding the Third Proportional to 346,116 and 519,174

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Solution

The third proportional to 346,116 and 519,174 is: 778,761

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,116 : 519,174 = 519,174 : x
  2. Step 2: Convert to fraction form
    346,116/519,174 = 519,174/x
  3. Step 3: Cross multiply
    346,116x = 519,174 × 519,174
  4. Step 4: Simplify right side
    346,116x = 269,541,642,276
  5. Step 5: Solve for x
    x = 269,541,642,276/346,116
  6. Step 6: Final answer
    x = 778,761

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.