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Finding the Third Proportional to 468,367.31 and 973,549.13

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Solution

The third proportional to 468,367.31 and 973,549.13 is: 2,023,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,367.31 : 973,549.13 = 973,549.13 : x
  2. Step 2: Convert to fraction form
    468,367.31/973,549.13 = 973,549.13/x
  3. Step 3: Cross multiply
    468,367.31x = 973,549.13 × 973,549.13
  4. Step 4: Simplify right side
    468,367.31x = 947,797,898,788.27
  5. Step 5: Solve for x
    x = 947,797,898,788.27/468,367.31
  6. Step 6: Final answer
    x = 2,023,620.93

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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.