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Finding the Third Proportional to 344,336 and 744,001

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Solution

The third proportional to 344,336 and 744,001 is: 1,607,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,336 : 744,001 = 744,001 : x
  2. Step 2: Convert to fraction form
    344,336/744,001 = 744,001/x
  3. Step 3: Cross multiply
    344,336x = 744,001 × 744,001
  4. Step 4: Simplify right side
    344,336x = 553,537,488,001
  5. Step 5: Solve for x
    x = 553,537,488,001/344,336
  6. Step 6: Final answer
    x = 1,607,550.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.