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Finding the Third Proportional to 362,458 and 784,650.50

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Solution

The third proportional to 362,458 and 784,650.50 is: 1,698,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,458 : 784,650.50 = 784,650.50 : x
  2. Step 2: Convert to fraction form
    362,458/784,650.50 = 784,650.50/x
  3. Step 3: Cross multiply
    362,458x = 784,650.50 × 784,650.50
  4. Step 4: Simplify right side
    362,458x = 615,676,407,150.25
  5. Step 5: Solve for x
    x = 615,676,407,150.25/362,458
  6. Step 6: Final answer
    x = 1,698,614.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.