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Finding the Third Proportional to 449,274.38 and 977,280.75

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Solution

The third proportional to 449,274.38 and 977,280.75 is: 2,125,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,274.38 : 977,280.75 = 977,280.75 : x
  2. Step 2: Convert to fraction form
    449,274.38/977,280.75 = 977,280.75/x
  3. Step 3: Cross multiply
    449,274.38x = 977,280.75 × 977,280.75
  4. Step 4: Simplify right side
    449,274.38x = 955,077,664,320.56
  5. Step 5: Solve for x
    x = 955,077,664,320.56/449,274.38
  6. Step 6: Final answer
    x = 2,125,822.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.