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Finding the Third Proportional to 504,690 and 739,371

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Solution

The third proportional to 504,690 and 739,371 is: 1,083,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,690 : 739,371 = 739,371 : x
  2. Step 2: Convert to fraction form
    504,690/739,371 = 739,371/x
  3. Step 3: Cross multiply
    504,690x = 739,371 × 739,371
  4. Step 4: Simplify right side
    504,690x = 546,669,475,641
  5. Step 5: Solve for x
    x = 546,669,475,641/504,690
  6. Step 6: Final answer
    x = 1,083,178.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.