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Finding the Third Proportional to 482,828 and 709,444

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Solution

The third proportional to 482,828 and 709,444 is: 1,042,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,828 : 709,444 = 709,444 : x
  2. Step 2: Convert to fraction form
    482,828/709,444 = 709,444/x
  3. Step 3: Cross multiply
    482,828x = 709,444 × 709,444
  4. Step 4: Simplify right side
    482,828x = 503,310,789,136
  5. Step 5: Solve for x
    x = 503,310,789,136/482,828
  6. Step 6: Final answer
    x = 1,042,422.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.