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Finding the Third Proportional to 529,187 and 794,973

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Solution

The third proportional to 529,187 and 794,973 is: 1,194,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,187 : 794,973 = 794,973 : x
  2. Step 2: Convert to fraction form
    529,187/794,973 = 794,973/x
  3. Step 3: Cross multiply
    529,187x = 794,973 × 794,973
  4. Step 4: Simplify right side
    529,187x = 631,982,070,729
  5. Step 5: Solve for x
    x = 631,982,070,729/529,187
  6. Step 6: Final answer
    x = 1,194,250.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.