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Finding the Third Proportional to 368,022 and 788,508

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Solution

The third proportional to 368,022 and 788,508 is: 1,689,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,022 : 788,508 = 788,508 : x
  2. Step 2: Convert to fraction form
    368,022/788,508 = 788,508/x
  3. Step 3: Cross multiply
    368,022x = 788,508 × 788,508
  4. Step 4: Simplify right side
    368,022x = 621,744,866,064
  5. Step 5: Solve for x
    x = 621,744,866,064/368,022
  6. Step 6: Final answer
    x = 1,689,423.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.