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Finding the Third Proportional to 231,754 and 507,782

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Solution

The third proportional to 231,754 and 507,782 is: 1,112,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,754 : 507,782 = 507,782 : x
  2. Step 2: Convert to fraction form
    231,754/507,782 = 507,782/x
  3. Step 3: Cross multiply
    231,754x = 507,782 × 507,782
  4. Step 4: Simplify right side
    231,754x = 257,842,559,524
  5. Step 5: Solve for x
    x = 257,842,559,524/231,754
  6. Step 6: Final answer
    x = 1,112,570.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.