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Finding the Third Proportional to 247,911 and 537,037

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Solution

The third proportional to 247,911 and 537,037 is: 1,163,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,911 : 537,037 = 537,037 : x
  2. Step 2: Convert to fraction form
    247,911/537,037 = 537,037/x
  3. Step 3: Cross multiply
    247,911x = 537,037 × 537,037
  4. Step 4: Simplify right side
    247,911x = 288,408,739,369
  5. Step 5: Solve for x
    x = 288,408,739,369/247,911
  6. Step 6: Final answer
    x = 1,163,355.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.