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Finding the Third Proportional to 633,544.50 and 1,277,457

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Solution

The third proportional to 633,544.50 and 1,277,457 is: 2,575,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,544.50 : 1,277,457 = 1,277,457 : x
  2. Step 2: Convert to fraction form
    633,544.50/1,277,457 = 1,277,457/x
  3. Step 3: Cross multiply
    633,544.50x = 1,277,457 × 1,277,457
  4. Step 4: Simplify right side
    633,544.50x = 1,631,896,386,849
  5. Step 5: Solve for x
    x = 1,631,896,386,849/633,544.50
  6. Step 6: Final answer
    x = 2,575,819.67

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.