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Finding the Third Proportional to 498,354 and 753,476

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Solution

The third proportional to 498,354 and 753,476 is: 1,139,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,354 : 753,476 = 753,476 : x
  2. Step 2: Convert to fraction form
    498,354/753,476 = 753,476/x
  3. Step 3: Cross multiply
    498,354x = 753,476 × 753,476
  4. Step 4: Simplify right side
    498,354x = 567,726,082,576
  5. Step 5: Solve for x
    x = 567,726,082,576/498,354
  6. Step 6: Final answer
    x = 1,139,202.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.