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Finding the Third Proportional to 347,714 and 745,330

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Solution

The third proportional to 347,714 and 745,330 is: 1,597,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,714 : 745,330 = 745,330 : x
  2. Step 2: Convert to fraction form
    347,714/745,330 = 745,330/x
  3. Step 3: Cross multiply
    347,714x = 745,330 × 745,330
  4. Step 4: Simplify right side
    347,714x = 555,516,808,900
  5. Step 5: Solve for x
    x = 555,516,808,900/347,714
  6. Step 6: Final answer
    x = 1,597,625.66

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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.