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Finding the Third Proportional to 410,865 and 896,473.50

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Solution

The third proportional to 410,865 and 896,473.50 is: 1,956,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,865 : 896,473.50 = 896,473.50 : x
  2. Step 2: Convert to fraction form
    410,865/896,473.50 = 896,473.50/x
  3. Step 3: Cross multiply
    410,865x = 896,473.50 × 896,473.50
  4. Step 4: Simplify right side
    410,865x = 803,664,736,202.25
  5. Step 5: Solve for x
    x = 803,664,736,202.25/410,865
  6. Step 6: Final answer
    x = 1,956,031.14

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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.