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Finding the Third Proportional to 458,040 and 632,910

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Solution

The third proportional to 458,040 and 632,910 is: 874,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,040 : 632,910 = 632,910 : x
  2. Step 2: Convert to fraction form
    458,040/632,910 = 632,910/x
  3. Step 3: Cross multiply
    458,040x = 632,910 × 632,910
  4. Step 4: Simplify right side
    458,040x = 400,575,068,100
  5. Step 5: Solve for x
    x = 400,575,068,100/458,040
  6. Step 6: Final answer
    x = 874,541.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.