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Finding the Third Proportional to 348,576 and 761,116

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Solution

The third proportional to 348,576 and 761,116 is: 1,661,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,576 : 761,116 = 761,116 : x
  2. Step 2: Convert to fraction form
    348,576/761,116 = 761,116/x
  3. Step 3: Cross multiply
    348,576x = 761,116 × 761,116
  4. Step 4: Simplify right side
    348,576x = 579,297,565,456
  5. Step 5: Solve for x
    x = 579,297,565,456/348,576
  6. Step 6: Final answer
    x = 1,661,897.45

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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.