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Finding the Third Proportional to 585,171 and 918,193.50

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Solution

The third proportional to 585,171 and 918,193.50 is: 1,440,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,171 : 918,193.50 = 918,193.50 : x
  2. Step 2: Convert to fraction form
    585,171/918,193.50 = 918,193.50/x
  3. Step 3: Cross multiply
    585,171x = 918,193.50 × 918,193.50
  4. Step 4: Simplify right side
    585,171x = 843,079,303,442.25
  5. Step 5: Solve for x
    x = 843,079,303,442.25/585,171
  6. Step 6: Final answer
    x = 1,440,740.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.