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Finding the Third Proportional to 349,380 and 744,516

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Solution

The third proportional to 349,380 and 744,516 is: 1,586,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,380 : 744,516 = 744,516 : x
  2. Step 2: Convert to fraction form
    349,380/744,516 = 744,516/x
  3. Step 3: Cross multiply
    349,380x = 744,516 × 744,516
  4. Step 4: Simplify right side
    349,380x = 554,304,074,256
  5. Step 5: Solve for x
    x = 554,304,074,256/349,380
  6. Step 6: Final answer
    x = 1,586,536.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.