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Finding the Third Proportional to 245,536 and 537,916

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Solution

The third proportional to 245,536 and 537,916 is: 1,178,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,536 : 537,916 = 537,916 : x
  2. Step 2: Convert to fraction form
    245,536/537,916 = 537,916/x
  3. Step 3: Cross multiply
    245,536x = 537,916 × 537,916
  4. Step 4: Simplify right side
    245,536x = 289,353,623,056
  5. Step 5: Solve for x
    x = 289,353,623,056/245,536
  6. Step 6: Final answer
    x = 1,178,457.02

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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.