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Finding the Third Proportional to 237,749 and 512,948

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Solution

The third proportional to 237,749 and 512,948 is: 1,106,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,749 : 512,948 = 512,948 : x
  2. Step 2: Convert to fraction form
    237,749/512,948 = 512,948/x
  3. Step 3: Cross multiply
    237,749x = 512,948 × 512,948
  4. Step 4: Simplify right side
    237,749x = 263,115,650,704
  5. Step 5: Solve for x
    x = 263,115,650,704/237,749
  6. Step 6: Final answer
    x = 1,106,695.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.