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Finding the Third Proportional to 501,014 and 775,929

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Solution

The third proportional to 501,014 and 775,929 is: 1,201,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,014 : 775,929 = 775,929 : x
  2. Step 2: Convert to fraction form
    501,014/775,929 = 775,929/x
  3. Step 3: Cross multiply
    501,014x = 775,929 × 775,929
  4. Step 4: Simplify right side
    501,014x = 602,065,813,041
  5. Step 5: Solve for x
    x = 602,065,813,041/501,014
  6. Step 6: Final answer
    x = 1,201,694.59

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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.