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Finding the Third Proportional to 231,472 and 507,260

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Solution

The third proportional to 231,472 and 507,260 is: 1,111,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,472 : 507,260 = 507,260 : x
  2. Step 2: Convert to fraction form
    231,472/507,260 = 507,260/x
  3. Step 3: Cross multiply
    231,472x = 507,260 × 507,260
  4. Step 4: Simplify right side
    231,472x = 257,312,707,600
  5. Step 5: Solve for x
    x = 257,312,707,600/231,472
  6. Step 6: Final answer
    x = 1,111,636.43

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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.