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Finding the Third Proportional to 231,428 and 507,244

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Solution

The third proportional to 231,428 and 507,244 is: 1,111,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,428 : 507,244 = 507,244 : x
  2. Step 2: Convert to fraction form
    231,428/507,244 = 507,244/x
  3. Step 3: Cross multiply
    231,428x = 507,244 × 507,244
  4. Step 4: Simplify right side
    231,428x = 257,296,475,536
  5. Step 5: Solve for x
    x = 257,296,475,536/231,428
  6. Step 6: Final answer
    x = 1,111,777.64

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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.