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Finding the Third Proportional to 233,408 and 370,524

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Solution

The third proportional to 233,408 and 370,524 is: 588,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,408 : 370,524 = 370,524 : x
  2. Step 2: Convert to fraction form
    233,408/370,524 = 370,524/x
  3. Step 3: Cross multiply
    233,408x = 370,524 × 370,524
  4. Step 4: Simplify right side
    233,408x = 137,288,034,576
  5. Step 5: Solve for x
    x = 137,288,034,576/233,408
  6. Step 6: Final answer
    x = 588,189.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.