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Finding the Third Proportional to 341,607 and 486,627

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Solution

The third proportional to 341,607 and 486,627 is: 693,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,607 : 486,627 = 486,627 : x
  2. Step 2: Convert to fraction form
    341,607/486,627 = 486,627/x
  3. Step 3: Cross multiply
    341,607x = 486,627 × 486,627
  4. Step 4: Simplify right side
    341,607x = 236,805,837,129
  5. Step 5: Solve for x
    x = 236,805,837,129/341,607
  6. Step 6: Final answer
    x = 693,211.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.