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Finding the Third Proportional to 231,722 and 507,733

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Solution

The third proportional to 231,722 and 507,733 is: 1,112,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,722 : 507,733 = 507,733 : x
  2. Step 2: Convert to fraction form
    231,722/507,733 = 507,733/x
  3. Step 3: Cross multiply
    231,722x = 507,733 × 507,733
  4. Step 4: Simplify right side
    231,722x = 257,792,799,289
  5. Step 5: Solve for x
    x = 257,792,799,289/231,722
  6. Step 6: Final answer
    x = 1,112,508.95

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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.