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Finding the Third Proportional to 407,738.81 and 874,526.63

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Solution

The third proportional to 407,738.81 and 874,526.63 is: 1,875,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,738.81 : 874,526.63 = 874,526.63 : x
  2. Step 2: Convert to fraction form
    407,738.81/874,526.63 = 874,526.63/x
  3. Step 3: Cross multiply
    407,738.81x = 874,526.63 × 874,526.63
  4. Step 4: Simplify right side
    407,738.81x = 764,796,817,833.89
  5. Step 5: Solve for x
    x = 764,796,817,833.89/407,738.81
  6. Step 6: Final answer
    x = 1,875,702.76

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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.