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Finding the Third Proportional to 524,008 and 790,991

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Solution

The third proportional to 524,008 and 790,991 is: 1,194,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,008 : 790,991 = 790,991 : x
  2. Step 2: Convert to fraction form
    524,008/790,991 = 790,991/x
  3. Step 3: Cross multiply
    524,008x = 790,991 × 790,991
  4. Step 4: Simplify right side
    524,008x = 625,666,762,081
  5. Step 5: Solve for x
    x = 625,666,762,081/524,008
  6. Step 6: Final answer
    x = 1,194,002.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.