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Finding the Third Proportional to 529,070 and 794,811

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Solution

The third proportional to 529,070 and 794,811 is: 1,194,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,070 : 794,811 = 794,811 : x
  2. Step 2: Convert to fraction form
    529,070/794,811 = 794,811/x
  3. Step 3: Cross multiply
    529,070x = 794,811 × 794,811
  4. Step 4: Simplify right side
    529,070x = 631,724,525,721
  5. Step 5: Solve for x
    x = 631,724,525,721/529,070
  6. Step 6: Final answer
    x = 1,194,028.25

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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.