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Finding the Third Proportional to 342,757 and 547,347

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Solution

The third proportional to 342,757 and 547,347 is: 874,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,757 : 547,347 = 547,347 : x
  2. Step 2: Convert to fraction form
    342,757/547,347 = 547,347/x
  3. Step 3: Cross multiply
    342,757x = 547,347 × 547,347
  4. Step 4: Simplify right side
    342,757x = 299,588,738,409
  5. Step 5: Solve for x
    x = 299,588,738,409/342,757
  6. Step 6: Final answer
    x = 874,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.