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Finding the Third Proportional to 332,154 and 487,158

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Solution

The third proportional to 332,154 and 487,158 is: 714,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,154 : 487,158 = 487,158 : x
  2. Step 2: Convert to fraction form
    332,154/487,158 = 487,158/x
  3. Step 3: Cross multiply
    332,154x = 487,158 × 487,158
  4. Step 4: Simplify right side
    332,154x = 237,322,916,964
  5. Step 5: Solve for x
    x = 237,322,916,964/332,154
  6. Step 6: Final answer
    x = 714,496.64

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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.