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Finding the Third Proportional to 231,434 and 507,254

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Solution

The third proportional to 231,434 and 507,254 is: 1,111,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,434 : 507,254 = 507,254 : x
  2. Step 2: Convert to fraction form
    231,434/507,254 = 507,254/x
  3. Step 3: Cross multiply
    231,434x = 507,254 × 507,254
  4. Step 4: Simplify right side
    231,434x = 257,306,620,516
  5. Step 5: Solve for x
    x = 257,306,620,516/231,434
  6. Step 6: Final answer
    x = 1,111,792.65

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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.