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Finding the Third Proportional to 324,858.38 and 499,973.63

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Solution

The third proportional to 324,858.38 and 499,973.63 is: 769,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,858.38 : 499,973.63 = 499,973.63 : x
  2. Step 2: Convert to fraction form
    324,858.38/499,973.63 = 499,973.63/x
  3. Step 3: Cross multiply
    324,858.38x = 499,973.63 × 499,973.63
  4. Step 4: Simplify right side
    324,858.38x = 249,973,625,695.64
  5. Step 5: Solve for x
    x = 249,973,625,695.64/324,858.38
  6. Step 6: Final answer
    x = 769,484.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.