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Finding the Third Proportional to 348,576 and 761,115

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Solution

The third proportional to 348,576 and 761,115 is: 1,661,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,576 : 761,115 = 761,115 : x
  2. Step 2: Convert to fraction form
    348,576/761,115 = 761,115/x
  3. Step 3: Cross multiply
    348,576x = 761,115 × 761,115
  4. Step 4: Simplify right side
    348,576x = 579,296,043,225
  5. Step 5: Solve for x
    x = 579,296,043,225/348,576
  6. Step 6: Final answer
    x = 1,661,893.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.