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Finding the Third Proportional to 231,709 and 507,704

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Solution

The third proportional to 231,709 and 507,704 is: 1,112,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,709 : 507,704 = 507,704 : x
  2. Step 2: Convert to fraction form
    231,709/507,704 = 507,704/x
  3. Step 3: Cross multiply
    231,709x = 507,704 × 507,704
  4. Step 4: Simplify right side
    231,709x = 257,763,351,616
  5. Step 5: Solve for x
    x = 257,763,351,616/231,709
  6. Step 6: Final answer
    x = 1,112,444.28

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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.