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Finding the Third Proportional to 348,495 and 755,998

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Solution

The third proportional to 348,495 and 755,998 is: 1,640,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,495 : 755,998 = 755,998 : x
  2. Step 2: Convert to fraction form
    348,495/755,998 = 755,998/x
  3. Step 3: Cross multiply
    348,495x = 755,998 × 755,998
  4. Step 4: Simplify right side
    348,495x = 571,532,976,004
  5. Step 5: Solve for x
    x = 571,532,976,004/348,495
  6. Step 6: Final answer
    x = 1,640,003.37

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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.