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Finding the Third Proportional to 347,716 and 745,334

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Solution

The third proportional to 347,716 and 745,334 is: 1,597,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,716 : 745,334 = 745,334 : x
  2. Step 2: Convert to fraction form
    347,716/745,334 = 745,334/x
  3. Step 3: Cross multiply
    347,716x = 745,334 × 745,334
  4. Step 4: Simplify right side
    347,716x = 555,522,771,556
  5. Step 5: Solve for x
    x = 555,522,771,556/347,716
  6. Step 6: Final answer
    x = 1,597,633.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.