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Finding the Third Proportional to 237,408 and 560,424

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Solution

The third proportional to 237,408 and 560,424 is: 1,322,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,408 : 560,424 = 560,424 : x
  2. Step 2: Convert to fraction form
    237,408/560,424 = 560,424/x
  3. Step 3: Cross multiply
    237,408x = 560,424 × 560,424
  4. Step 4: Simplify right side
    237,408x = 314,075,059,776
  5. Step 5: Solve for x
    x = 314,075,059,776/237,408
  6. Step 6: Final answer
    x = 1,322,933.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.