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Finding the Third Proportional to 361,930 and 788,108

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Solution

The third proportional to 361,930 and 788,108 is: 1,716,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,930 : 788,108 = 788,108 : x
  2. Step 2: Convert to fraction form
    361,930/788,108 = 788,108/x
  3. Step 3: Cross multiply
    361,930x = 788,108 × 788,108
  4. Step 4: Simplify right side
    361,930x = 621,114,219,664
  5. Step 5: Solve for x
    x = 621,114,219,664/361,930
  6. Step 6: Final answer
    x = 1,716,116.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.