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Finding the Third Proportional to 535,934.25 and 1,149,574.50

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Solution

The third proportional to 535,934.25 and 1,149,574.50 is: 2,465,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,934.25 : 1,149,574.50 = 1,149,574.50 : x
  2. Step 2: Convert to fraction form
    535,934.25/1,149,574.50 = 1,149,574.50/x
  3. Step 3: Cross multiply
    535,934.25x = 1,149,574.50 × 1,149,574.50
  4. Step 4: Simplify right side
    535,934.25x = 1,321,521,531,050.25
  5. Step 5: Solve for x
    x = 1,321,521,531,050.25/535,934.25
  6. Step 6: Final answer
    x = 2,465,827.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.