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Finding the Third Proportional to 326,745 and 499,730

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Solution

The third proportional to 326,745 and 499,730 is: 764,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,745 : 499,730 = 499,730 : x
  2. Step 2: Convert to fraction form
    326,745/499,730 = 499,730/x
  3. Step 3: Cross multiply
    326,745x = 499,730 × 499,730
  4. Step 4: Simplify right side
    326,745x = 249,730,072,900
  5. Step 5: Solve for x
    x = 249,730,072,900/326,745
  6. Step 6: Final answer
    x = 764,296.54

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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.