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Finding the Third Proportional to 410,796 and 896,323.50

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Solution

The third proportional to 410,796 and 896,323.50 is: 1,955,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,796 : 896,323.50 = 896,323.50 : x
  2. Step 2: Convert to fraction form
    410,796/896,323.50 = 896,323.50/x
  3. Step 3: Cross multiply
    410,796x = 896,323.50 × 896,323.50
  4. Step 4: Simplify right side
    410,796x = 803,395,816,652.25
  5. Step 5: Solve for x
    x = 803,395,816,652.25/410,796
  6. Step 6: Final answer
    x = 1,955,705.06

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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.