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Finding the Third Proportional to 253,526.50 and 543,044

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Solution

The third proportional to 253,526.50 and 543,044 is: 1,163,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,526.50 : 543,044 = 543,044 : x
  2. Step 2: Convert to fraction form
    253,526.50/543,044 = 543,044/x
  3. Step 3: Cross multiply
    253,526.50x = 543,044 × 543,044
  4. Step 4: Simplify right side
    253,526.50x = 294,896,785,936
  5. Step 5: Solve for x
    x = 294,896,785,936/253,526.50
  6. Step 6: Final answer
    x = 1,163,179.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.