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Finding the Third Proportional to 326,889 and 499,842

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Solution

The third proportional to 326,889 and 499,842 is: 764,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,889 : 499,842 = 499,842 : x
  2. Step 2: Convert to fraction form
    326,889/499,842 = 499,842/x
  3. Step 3: Cross multiply
    326,889x = 499,842 × 499,842
  4. Step 4: Simplify right side
    326,889x = 249,842,024,964
  5. Step 5: Solve for x
    x = 249,842,024,964/326,889
  6. Step 6: Final answer
    x = 764,302.33

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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.