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Finding the Third Proportional to 457,906 and 673,139

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Solution

The third proportional to 457,906 and 673,139 is: 989,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,906 : 673,139 = 673,139 : x
  2. Step 2: Convert to fraction form
    457,906/673,139 = 673,139/x
  3. Step 3: Cross multiply
    457,906x = 673,139 × 673,139
  4. Step 4: Simplify right side
    457,906x = 453,116,113,321
  5. Step 5: Solve for x
    x = 453,116,113,321/457,906
  6. Step 6: Final answer
    x = 989,539.59

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