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Finding the Third Proportional to 499,146 and 748,476

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Solution

The third proportional to 499,146 and 748,476 is: 1,122,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,146 : 748,476 = 748,476 : x
  2. Step 2: Convert to fraction form
    499,146/748,476 = 748,476/x
  3. Step 3: Cross multiply
    499,146x = 748,476 × 748,476
  4. Step 4: Simplify right side
    499,146x = 560,216,322,576
  5. Step 5: Solve for x
    x = 560,216,322,576/499,146
  6. Step 6: Final answer
    x = 1,122,349.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.