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Finding the Third Proportional to 326,233 and 499,101

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Solution

The third proportional to 326,233 and 499,101 is: 763,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,233 : 499,101 = 499,101 : x
  2. Step 2: Convert to fraction form
    326,233/499,101 = 499,101/x
  3. Step 3: Cross multiply
    326,233x = 499,101 × 499,101
  4. Step 4: Simplify right side
    326,233x = 249,101,808,201
  5. Step 5: Solve for x
    x = 249,101,808,201/326,233
  6. Step 6: Final answer
    x = 763,570.23

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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.