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Finding the Third Proportional to 326,250 and 499,123

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Solution

The third proportional to 326,250 and 499,123 is: 763,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,250 : 499,123 = 499,123 : x
  2. Step 2: Convert to fraction form
    326,250/499,123 = 499,123/x
  3. Step 3: Cross multiply
    326,250x = 499,123 × 499,123
  4. Step 4: Simplify right side
    326,250x = 249,123,769,129
  5. Step 5: Solve for x
    x = 249,123,769,129/326,250
  6. Step 6: Final answer
    x = 763,597.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.