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Finding the Third Proportional to 746,332.73 and 1,021,296.25

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Solution

The third proportional to 746,332.73 and 1,021,296.25 is: 1,397,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,332.73 : 1,021,296.25 = 1,021,296.25 : x
  2. Step 2: Convert to fraction form
    746,332.73/1,021,296.25 = 1,021,296.25/x
  3. Step 3: Cross multiply
    746,332.73x = 1,021,296.25 × 1,021,296.25
  4. Step 4: Simplify right side
    746,332.73x = 1,043,046,034,253.45
  5. Step 5: Solve for x
    x = 1,043,046,034,253.45/746,332.73
  6. Step 6: Final answer
    x = 1,397,561.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.