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Finding the Third Proportional to 200,426.63 and 417,437.44

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Solution

The third proportional to 200,426.63 and 417,437.44 is: 869,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,426.63 : 417,437.44 = 417,437.44 : x
  2. Step 2: Convert to fraction form
    200,426.63/417,437.44 = 417,437.44/x
  3. Step 3: Cross multiply
    200,426.63x = 417,437.44 × 417,437.44
  4. Step 4: Simplify right side
    200,426.63x = 174,254,014,226.57
  5. Step 5: Solve for x
    x = 174,254,014,226.57/200,426.63
  6. Step 6: Final answer
    x = 869,415.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.