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Finding the Third Proportional to 485,771 and 735,434

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Solution

The third proportional to 485,771 and 735,434 is: 1,113,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,771 : 735,434 = 735,434 : x
  2. Step 2: Convert to fraction form
    485,771/735,434 = 735,434/x
  3. Step 3: Cross multiply
    485,771x = 735,434 × 735,434
  4. Step 4: Simplify right side
    485,771x = 540,863,168,356
  5. Step 5: Solve for x
    x = 540,863,168,356/485,771
  6. Step 6: Final answer
    x = 1,113,411.81

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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.