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Finding the Third Proportional to 343,464 and 748,017

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Solution

The third proportional to 343,464 and 748,017 is: 1,629,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,464 : 748,017 = 748,017 : x
  2. Step 2: Convert to fraction form
    343,464/748,017 = 748,017/x
  3. Step 3: Cross multiply
    343,464x = 748,017 × 748,017
  4. Step 4: Simplify right side
    343,464x = 559,529,432,289
  5. Step 5: Solve for x
    x = 559,529,432,289/343,464
  6. Step 6: Final answer
    x = 1,629,077.38

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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.