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Finding the Third Proportional to 238,716 and 525,408

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Solution

The third proportional to 238,716 and 525,408 is: 1,156,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,716 : 525,408 = 525,408 : x
  2. Step 2: Convert to fraction form
    238,716/525,408 = 525,408/x
  3. Step 3: Cross multiply
    238,716x = 525,408 × 525,408
  4. Step 4: Simplify right side
    238,716x = 276,053,566,464
  5. Step 5: Solve for x
    x = 276,053,566,464/238,716
  6. Step 6: Final answer
    x = 1,156,409.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.