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Finding the Third Proportional to 341,304 and 744,720

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Solution

The third proportional to 341,304 and 744,720 is: 1,624,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,304 : 744,720 = 744,720 : x
  2. Step 2: Convert to fraction form
    341,304/744,720 = 744,720/x
  3. Step 3: Cross multiply
    341,304x = 744,720 × 744,720
  4. Step 4: Simplify right side
    341,304x = 554,607,878,400
  5. Step 5: Solve for x
    x = 554,607,878,400/341,304
  6. Step 6: Final answer
    x = 1,624,967.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.