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Finding the Third Proportional to 343,425 and 744,017

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Solution

The third proportional to 343,425 and 744,017 is: 1,611,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,425 : 744,017 = 744,017 : x
  2. Step 2: Convert to fraction form
    343,425/744,017 = 744,017/x
  3. Step 3: Cross multiply
    343,425x = 744,017 × 744,017
  4. Step 4: Simplify right side
    343,425x = 553,561,296,289
  5. Step 5: Solve for x
    x = 553,561,296,289/343,425
  6. Step 6: Final answer
    x = 1,611,884.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.