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Finding the Third Proportional to 231,409 and 507,084

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Solution

The third proportional to 231,409 and 507,084 is: 1,111,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,409 : 507,084 = 507,084 : x
  2. Step 2: Convert to fraction form
    231,409/507,084 = 507,084/x
  3. Step 3: Cross multiply
    231,409x = 507,084 × 507,084
  4. Step 4: Simplify right side
    231,409x = 257,134,183,056
  5. Step 5: Solve for x
    x = 257,134,183,056/231,409
  6. Step 6: Final answer
    x = 1,111,167.60

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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.