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Finding the Third Proportional to 339,554 and 738,076

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Solution

The third proportional to 339,554 and 738,076 is: 1,604,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,554 : 738,076 = 738,076 : x
  2. Step 2: Convert to fraction form
    339,554/738,076 = 738,076/x
  3. Step 3: Cross multiply
    339,554x = 738,076 × 738,076
  4. Step 4: Simplify right side
    339,554x = 544,756,181,776
  5. Step 5: Solve for x
    x = 544,756,181,776/339,554
  6. Step 6: Final answer
    x = 1,604,328.57

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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.