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Finding the Third Proportional to 449,750.81 and 974,235.38

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Solution

The third proportional to 449,750.81 and 974,235.38 is: 2,110,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,750.81 : 974,235.38 = 974,235.38 : x
  2. Step 2: Convert to fraction form
    449,750.81/974,235.38 = 974,235.38/x
  3. Step 3: Cross multiply
    449,750.81x = 974,235.38 × 974,235.38
  4. Step 4: Simplify right side
    449,750.81x = 949,134,565,901.39
  5. Step 5: Solve for x
    x = 949,134,565,901.39/449,750.81
  6. Step 6: Final answer
    x = 2,110,356.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.