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Finding the Third Proportional to 457,904 and 673,140

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Solution

The third proportional to 457,904 and 673,140 is: 989,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,904 : 673,140 = 673,140 : x
  2. Step 2: Convert to fraction form
    457,904/673,140 = 673,140/x
  3. Step 3: Cross multiply
    457,904x = 673,140 × 673,140
  4. Step 4: Simplify right side
    457,904x = 453,117,459,600
  5. Step 5: Solve for x
    x = 453,117,459,600/457,904
  6. Step 6: Final answer
    x = 989,546.85

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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.