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Finding the Third Proportional to 326,534 and 499,467

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Solution

The third proportional to 326,534 and 499,467 is: 763,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,534 : 499,467 = 499,467 : x
  2. Step 2: Convert to fraction form
    326,534/499,467 = 499,467/x
  3. Step 3: Cross multiply
    326,534x = 499,467 × 499,467
  4. Step 4: Simplify right side
    326,534x = 249,467,284,089
  5. Step 5: Solve for x
    x = 249,467,284,089/326,534
  6. Step 6: Final answer
    x = 763,985.63

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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.