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Finding the Third Proportional to 501,035 and 775,898

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Solution

The third proportional to 501,035 and 775,898 is: 1,201,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,035 : 775,898 = 775,898 : x
  2. Step 2: Convert to fraction form
    501,035/775,898 = 775,898/x
  3. Step 3: Cross multiply
    501,035x = 775,898 × 775,898
  4. Step 4: Simplify right side
    501,035x = 602,017,706,404
  5. Step 5: Solve for x
    x = 602,017,706,404/501,035
  6. Step 6: Final answer
    x = 1,201,548.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.