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Finding the Third Proportional to 625,268 and 1,272,633.50

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Solution

The third proportional to 625,268 and 1,272,633.50 is: 2,590,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,268 : 1,272,633.50 = 1,272,633.50 : x
  2. Step 2: Convert to fraction form
    625,268/1,272,633.50 = 1,272,633.50/x
  3. Step 3: Cross multiply
    625,268x = 1,272,633.50 × 1,272,633.50
  4. Step 4: Simplify right side
    625,268x = 1,619,596,025,322.25
  5. Step 5: Solve for x
    x = 1,619,596,025,322.25/625,268
  6. Step 6: Final answer
    x = 2,590,242.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.