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Finding the Third Proportional to 548,710 and 824,526

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Solution

The third proportional to 548,710 and 824,526 is: 1,238,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,710 : 824,526 = 824,526 : x
  2. Step 2: Convert to fraction form
    548,710/824,526 = 824,526/x
  3. Step 3: Cross multiply
    548,710x = 824,526 × 824,526
  4. Step 4: Simplify right side
    548,710x = 679,843,124,676
  5. Step 5: Solve for x
    x = 679,843,124,676/548,710
  6. Step 6: Final answer
    x = 1,238,984.39

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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.