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Finding the Third Proportional to 473,488 and 735,929

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Solution

The third proportional to 473,488 and 735,929 is: 1,143,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,488 : 735,929 = 735,929 : x
  2. Step 2: Convert to fraction form
    473,488/735,929 = 735,929/x
  3. Step 3: Cross multiply
    473,488x = 735,929 × 735,929
  4. Step 4: Simplify right side
    473,488x = 541,591,493,041
  5. Step 5: Solve for x
    x = 541,591,493,041/473,488
  6. Step 6: Final answer
    x = 1,143,833.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.