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Finding the Third Proportional to 529,210 and 795,010

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Solution

The third proportional to 529,210 and 795,010 is: 1,194,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,210 : 795,010 = 795,010 : x
  2. Step 2: Convert to fraction form
    529,210/795,010 = 795,010/x
  3. Step 3: Cross multiply
    529,210x = 795,010 × 795,010
  4. Step 4: Simplify right side
    529,210x = 632,040,900,100
  5. Step 5: Solve for x
    x = 632,040,900,100/529,210
  6. Step 6: Final answer
    x = 1,194,310.20

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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.