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Finding the Third Proportional to 334,489.50 and 721,467

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Solution

The third proportional to 334,489.50 and 721,467 is: 1,556,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,489.50 : 721,467 = 721,467 : x
  2. Step 2: Convert to fraction form
    334,489.50/721,467 = 721,467/x
  3. Step 3: Cross multiply
    334,489.50x = 721,467 × 721,467
  4. Step 4: Simplify right side
    334,489.50x = 520,514,632,089
  5. Step 5: Solve for x
    x = 520,514,632,089/334,489.50
  6. Step 6: Final answer
    x = 1,556,146.40

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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.