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Finding the Third Proportional to 410,892.75 and 896,528.25

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Solution

The third proportional to 410,892.75 and 896,528.25 is: 1,956,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,892.75 : 896,528.25 = 896,528.25 : x
  2. Step 2: Convert to fraction form
    410,892.75/896,528.25 = 896,528.25/x
  3. Step 3: Cross multiply
    410,892.75x = 896,528.25 × 896,528.25
  4. Step 4: Simplify right side
    410,892.75x = 803,762,903,048.06
  5. Step 5: Solve for x
    x = 803,762,903,048.06/410,892.75
  6. Step 6: Final answer
    x = 1,956,137.95

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Why These Related Problems?

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