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Finding the Third Proportional to 410,899.50 and 896,541

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Solution

The third proportional to 410,899.50 and 896,541 is: 1,956,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,899.50 : 896,541 = 896,541 : x
  2. Step 2: Convert to fraction form
    410,899.50/896,541 = 896,541/x
  3. Step 3: Cross multiply
    410,899.50x = 896,541 × 896,541
  4. Step 4: Simplify right side
    410,899.50x = 803,785,764,681
  5. Step 5: Solve for x
    x = 803,785,764,681/410,899.50
  6. Step 6: Final answer
    x = 1,956,161.46

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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.