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Finding the Third Proportional to 237,522 and 369,419

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Solution

The third proportional to 237,522 and 369,419 is: 574,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,522 : 369,419 = 369,419 : x
  2. Step 2: Convert to fraction form
    237,522/369,419 = 369,419/x
  3. Step 3: Cross multiply
    237,522x = 369,419 × 369,419
  4. Step 4: Simplify right side
    237,522x = 136,470,397,561
  5. Step 5: Solve for x
    x = 136,470,397,561/237,522
  6. Step 6: Final answer
    x = 574,558.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.