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Finding the Third Proportional to 281,364 and 614,389.50

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Solution

The third proportional to 281,364 and 614,389.50 is: 1,341,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,364 : 614,389.50 = 614,389.50 : x
  2. Step 2: Convert to fraction form
    281,364/614,389.50 = 614,389.50/x
  3. Step 3: Cross multiply
    281,364x = 614,389.50 × 614,389.50
  4. Step 4: Simplify right side
    281,364x = 377,474,457,710.25
  5. Step 5: Solve for x
    x = 377,474,457,710.25/281,364
  6. Step 6: Final answer
    x = 1,341,587.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.