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Finding the Third Proportional to 331,176 and 714,842

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Solution

The third proportional to 331,176 and 714,842 is: 1,542,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,176 : 714,842 = 714,842 : x
  2. Step 2: Convert to fraction form
    331,176/714,842 = 714,842/x
  3. Step 3: Cross multiply
    331,176x = 714,842 × 714,842
  4. Step 4: Simplify right side
    331,176x = 510,999,084,964
  5. Step 5: Solve for x
    x = 510,999,084,964/331,176
  6. Step 6: Final answer
    x = 1,542,983.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.