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Finding the Third Proportional to 410,733 and 898,764.75

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Solution

The third proportional to 410,733 and 898,764.75 is: 1,966,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,733 : 898,764.75 = 898,764.75 : x
  2. Step 2: Convert to fraction form
    410,733/898,764.75 = 898,764.75/x
  3. Step 3: Cross multiply
    410,733x = 898,764.75 × 898,764.75
  4. Step 4: Simplify right side
    410,733x = 807,778,075,842.56
  5. Step 5: Solve for x
    x = 807,778,075,842.56/410,733
  6. Step 6: Final answer
    x = 1,966,674.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.