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Finding the Third Proportional to 321,436 and 761,520

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Solution

The third proportional to 321,436 and 761,520 is: 1,804,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,436 : 761,520 = 761,520 : x
  2. Step 2: Convert to fraction form
    321,436/761,520 = 761,520/x
  3. Step 3: Cross multiply
    321,436x = 761,520 × 761,520
  4. Step 4: Simplify right side
    321,436x = 579,912,710,400
  5. Step 5: Solve for x
    x = 579,912,710,400/321,436
  6. Step 6: Final answer
    x = 1,804,131.18

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.