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Finding the Third Proportional to 326,424 and 499,365

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Solution

The third proportional to 326,424 and 499,365 is: 763,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,424 : 499,365 = 499,365 : x
  2. Step 2: Convert to fraction form
    326,424/499,365 = 499,365/x
  3. Step 3: Cross multiply
    326,424x = 499,365 × 499,365
  4. Step 4: Simplify right side
    326,424x = 249,365,403,225
  5. Step 5: Solve for x
    x = 249,365,403,225/326,424
  6. Step 6: Final answer
    x = 763,930.97

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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.