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Finding the Third Proportional to 407,798.63 and 874,635.75

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Solution

The third proportional to 407,798.63 and 874,635.75 is: 1,875,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,798.63 : 874,635.75 = 874,635.75 : x
  2. Step 2: Convert to fraction form
    407,798.63/874,635.75 = 874,635.75/x
  3. Step 3: Cross multiply
    407,798.63x = 874,635.75 × 874,635.75
  4. Step 4: Simplify right side
    407,798.63x = 764,987,695,178.06
  5. Step 5: Solve for x
    x = 764,987,695,178.06/407,798.63
  6. Step 6: Final answer
    x = 1,875,895.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.