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Finding the Third Proportional to 237,068 and 513,484

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Solution

The third proportional to 237,068 and 513,484 is: 1,112,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,068 : 513,484 = 513,484 : x
  2. Step 2: Convert to fraction form
    237,068/513,484 = 513,484/x
  3. Step 3: Cross multiply
    237,068x = 513,484 × 513,484
  4. Step 4: Simplify right side
    237,068x = 263,665,818,256
  5. Step 5: Solve for x
    x = 263,665,818,256/237,068
  6. Step 6: Final answer
    x = 1,112,194.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.