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Finding the Third Proportional to 458,160 and 673,500

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Solution

The third proportional to 458,160 and 673,500 is: 990,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,160 : 673,500 = 673,500 : x
  2. Step 2: Convert to fraction form
    458,160/673,500 = 673,500/x
  3. Step 3: Cross multiply
    458,160x = 673,500 × 673,500
  4. Step 4: Simplify right side
    458,160x = 453,602,250,000
  5. Step 5: Solve for x
    x = 453,602,250,000/458,160
  6. Step 6: Final answer
    x = 990,052.06

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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.