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Finding the Third Proportional to 248,940 and 537,408

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Solution

The third proportional to 248,940 and 537,408 is: 1,160,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,940 : 537,408 = 537,408 : x
  2. Step 2: Convert to fraction form
    248,940/537,408 = 537,408/x
  3. Step 3: Cross multiply
    248,940x = 537,408 × 537,408
  4. Step 4: Simplify right side
    248,940x = 288,807,358,464
  5. Step 5: Solve for x
    x = 288,807,358,464/248,940
  6. Step 6: Final answer
    x = 1,160,148.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.