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Finding the Third Proportional to 458,127 and 673,840.50

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Solution

The third proportional to 458,127 and 673,840.50 is: 991,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,127 : 673,840.50 = 673,840.50 : x
  2. Step 2: Convert to fraction form
    458,127/673,840.50 = 673,840.50/x
  3. Step 3: Cross multiply
    458,127x = 673,840.50 × 673,840.50
  4. Step 4: Simplify right side
    458,127x = 454,061,019,440.25
  5. Step 5: Solve for x
    x = 454,061,019,440.25/458,127
  6. Step 6: Final answer
    x = 991,124.77

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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.