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Finding the Third Proportional to 335,752 and 721,199

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Solution

The third proportional to 335,752 and 721,199 is: 1,549,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,752 : 721,199 = 721,199 : x
  2. Step 2: Convert to fraction form
    335,752/721,199 = 721,199/x
  3. Step 3: Cross multiply
    335,752x = 721,199 × 721,199
  4. Step 4: Simplify right side
    335,752x = 520,127,997,601
  5. Step 5: Solve for x
    x = 520,127,997,601/335,752
  6. Step 6: Final answer
    x = 1,549,143.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.