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Finding the Third Proportional to 245,733 and 537,636

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Solution

The third proportional to 245,733 and 537,636 is: 1,176,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,733 : 537,636 = 537,636 : x
  2. Step 2: Convert to fraction form
    245,733/537,636 = 537,636/x
  3. Step 3: Cross multiply
    245,733x = 537,636 × 537,636
  4. Step 4: Simplify right side
    245,733x = 289,052,468,496
  5. Step 5: Solve for x
    x = 289,052,468,496/245,733
  6. Step 6: Final answer
    x = 1,176,286.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.