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Finding the Third Proportional to 351,289 and 555,706

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Solution

The third proportional to 351,289 and 555,706 is: 879,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,289 : 555,706 = 555,706 : x
  2. Step 2: Convert to fraction form
    351,289/555,706 = 555,706/x
  3. Step 3: Cross multiply
    351,289x = 555,706 × 555,706
  4. Step 4: Simplify right side
    351,289x = 308,809,158,436
  5. Step 5: Solve for x
    x = 308,809,158,436/351,289
  6. Step 6: Final answer
    x = 879,074.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.