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Finding the Third Proportional to 351,718 and 544,951

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Solution

The third proportional to 351,718 and 544,951 is: 844,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,718 : 544,951 = 544,951 : x
  2. Step 2: Convert to fraction form
    351,718/544,951 = 544,951/x
  3. Step 3: Cross multiply
    351,718x = 544,951 × 544,951
  4. Step 4: Simplify right side
    351,718x = 296,971,592,401
  5. Step 5: Solve for x
    x = 296,971,592,401/351,718
  6. Step 6: Final answer
    x = 844,345.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.