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Finding the Third Proportional to 343,466 and 748,021

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Solution

The third proportional to 343,466 and 748,021 is: 1,629,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,466 : 748,021 = 748,021 : x
  2. Step 2: Convert to fraction form
    343,466/748,021 = 748,021/x
  3. Step 3: Cross multiply
    343,466x = 748,021 × 748,021
  4. Step 4: Simplify right side
    343,466x = 559,535,416,441
  5. Step 5: Solve for x
    x = 559,535,416,441/343,466
  6. Step 6: Final answer
    x = 1,629,085.31

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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.