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Finding the Third Proportional to 344,338 and 749,666

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Solution

The third proportional to 344,338 and 749,666 is: 1,632,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,338 : 749,666 = 749,666 : x
  2. Step 2: Convert to fraction form
    344,338/749,666 = 749,666/x
  3. Step 3: Cross multiply
    344,338x = 749,666 × 749,666
  4. Step 4: Simplify right side
    344,338x = 561,999,111,556
  5. Step 5: Solve for x
    x = 561,999,111,556/344,338
  6. Step 6: Final answer
    x = 1,632,114.70

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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.