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Finding the Third Proportional to 344,291 and 745,756

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Solution

The third proportional to 344,291 and 745,756 is: 1,615,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,291 : 745,756 = 745,756 : x
  2. Step 2: Convert to fraction form
    344,291/745,756 = 745,756/x
  3. Step 3: Cross multiply
    344,291x = 745,756 × 745,756
  4. Step 4: Simplify right side
    344,291x = 556,152,011,536
  5. Step 5: Solve for x
    x = 556,152,011,536/344,291
  6. Step 6: Final answer
    x = 1,615,354.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.