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Finding the Third Proportional to 543,125 and 823,436

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Solution

The third proportional to 543,125 and 823,436 is: 1,248,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,125 : 823,436 = 823,436 : x
  2. Step 2: Convert to fraction form
    543,125/823,436 = 823,436/x
  3. Step 3: Cross multiply
    543,125x = 823,436 × 823,436
  4. Step 4: Simplify right side
    543,125x = 678,046,846,096
  5. Step 5: Solve for x
    x = 678,046,846,096/543,125
  6. Step 6: Final answer
    x = 1,248,417.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.