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Finding the Third Proportional to 231,406 and 369,524

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Solution

The third proportional to 231,406 and 369,524 is: 590,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,406 : 369,524 = 369,524 : x
  2. Step 2: Convert to fraction form
    231,406/369,524 = 369,524/x
  3. Step 3: Cross multiply
    231,406x = 369,524 × 369,524
  4. Step 4: Simplify right side
    231,406x = 136,547,986,576
  5. Step 5: Solve for x
    x = 136,547,986,576/231,406
  6. Step 6: Final answer
    x = 590,079.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.