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Finding the Third Proportional to 488,163 and 730,476

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Solution

The third proportional to 488,163 and 730,476 is: 1,093,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,163 : 730,476 = 730,476 : x
  2. Step 2: Convert to fraction form
    488,163/730,476 = 730,476/x
  3. Step 3: Cross multiply
    488,163x = 730,476 × 730,476
  4. Step 4: Simplify right side
    488,163x = 533,595,186,576
  5. Step 5: Solve for x
    x = 533,595,186,576/488,163
  6. Step 6: Final answer
    x = 1,093,067.66

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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.