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Finding the Third Proportional to 329,418 and 711,000

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Solution

The third proportional to 329,418 and 711,000 is: 1,534,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,418 : 711,000 = 711,000 : x
  2. Step 2: Convert to fraction form
    329,418/711,000 = 711,000/x
  3. Step 3: Cross multiply
    329,418x = 711,000 × 711,000
  4. Step 4: Simplify right side
    329,418x = 505,521,000,000
  5. Step 5: Solve for x
    x = 505,521,000,000/329,418
  6. Step 6: Final answer
    x = 1,534,588.27

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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.