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Finding the Third Proportional to 457,905 and 673,138.50

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Solution

The third proportional to 457,905 and 673,138.50 is: 989,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,905 : 673,138.50 = 673,138.50 : x
  2. Step 2: Convert to fraction form
    457,905/673,138.50 = 673,138.50/x
  3. Step 3: Cross multiply
    457,905x = 673,138.50 × 673,138.50
  4. Step 4: Simplify right side
    457,905x = 453,115,440,182.25
  5. Step 5: Solve for x
    x = 453,115,440,182.25/457,905
  6. Step 6: Final answer
    x = 989,540.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.