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Finding the Third Proportional to 548,712 and 824,529

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Solution

The third proportional to 548,712 and 824,529 is: 1,238,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,712 : 824,529 = 824,529 : x
  2. Step 2: Convert to fraction form
    548,712/824,529 = 824,529/x
  3. Step 3: Cross multiply
    548,712x = 824,529 × 824,529
  4. Step 4: Simplify right side
    548,712x = 679,848,071,841
  5. Step 5: Solve for x
    x = 679,848,071,841/548,712
  6. Step 6: Final answer
    x = 1,238,988.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.