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Finding the Third Proportional to 515,729 and 788,420

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Solution

The third proportional to 515,729 and 788,420 is: 1,205,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,729 : 788,420 = 788,420 : x
  2. Step 2: Convert to fraction form
    515,729/788,420 = 788,420/x
  3. Step 3: Cross multiply
    515,729x = 788,420 × 788,420
  4. Step 4: Simplify right side
    515,729x = 621,606,096,400
  5. Step 5: Solve for x
    x = 621,606,096,400/515,729
  6. Step 6: Final answer
    x = 1,205,295.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.