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Finding the Third Proportional to 326,146 and 498,946

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Solution

The third proportional to 326,146 and 498,946 is: 763,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,146 : 498,946 = 498,946 : x
  2. Step 2: Convert to fraction form
    326,146/498,946 = 498,946/x
  3. Step 3: Cross multiply
    326,146x = 498,946 × 498,946
  4. Step 4: Simplify right side
    326,146x = 248,947,110,916
  5. Step 5: Solve for x
    x = 248,947,110,916/326,146
  6. Step 6: Final answer
    x = 763,299.60

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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.