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Finding the Third Proportional to 339,481 and 744,248

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Solution

The third proportional to 339,481 and 744,248 is: 1,631,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,481 : 744,248 = 744,248 : x
  2. Step 2: Convert to fraction form
    339,481/744,248 = 744,248/x
  3. Step 3: Cross multiply
    339,481x = 744,248 × 744,248
  4. Step 4: Simplify right side
    339,481x = 553,905,085,504
  5. Step 5: Solve for x
    x = 553,905,085,504/339,481
  6. Step 6: Final answer
    x = 1,631,623.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.