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Finding the Third Proportional to 337,916 and 785,740

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Solution

The third proportional to 337,916 and 785,740 is: 1,827,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,916 : 785,740 = 785,740 : x
  2. Step 2: Convert to fraction form
    337,916/785,740 = 785,740/x
  3. Step 3: Cross multiply
    337,916x = 785,740 × 785,740
  4. Step 4: Simplify right side
    337,916x = 617,387,347,600
  5. Step 5: Solve for x
    x = 617,387,347,600/337,916
  6. Step 6: Final answer
    x = 1,827,043.84

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.