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Finding the Third Proportional to 548,732 and 783,182

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Solution

The third proportional to 548,732 and 783,182 is: 1,117,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,732 : 783,182 = 783,182 : x
  2. Step 2: Convert to fraction form
    548,732/783,182 = 783,182/x
  3. Step 3: Cross multiply
    548,732x = 783,182 × 783,182
  4. Step 4: Simplify right side
    548,732x = 613,374,045,124
  5. Step 5: Solve for x
    x = 613,374,045,124/548,732
  6. Step 6: Final answer
    x = 1,117,802.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.