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Finding the Third Proportional to 276,296 and 572,248

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Solution

The third proportional to 276,296 and 572,248 is: 1,185,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,296 : 572,248 = 572,248 : x
  2. Step 2: Convert to fraction form
    276,296/572,248 = 572,248/x
  3. Step 3: Cross multiply
    276,296x = 572,248 × 572,248
  4. Step 4: Simplify right side
    276,296x = 327,467,773,504
  5. Step 5: Solve for x
    x = 327,467,773,504/276,296
  6. Step 6: Final answer
    x = 1,185,206.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.