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Finding the Third Proportional to 352,514 and 745,213

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Solution

The third proportional to 352,514 and 745,213 is: 1,575,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,514 : 745,213 = 745,213 : x
  2. Step 2: Convert to fraction form
    352,514/745,213 = 745,213/x
  3. Step 3: Cross multiply
    352,514x = 745,213 × 745,213
  4. Step 4: Simplify right side
    352,514x = 555,342,415,369
  5. Step 5: Solve for x
    x = 555,342,415,369/352,514
  6. Step 6: Final answer
    x = 1,575,376.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.