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Finding the Third Proportional to 341,698 and 525,930

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Solution

The third proportional to 341,698 and 525,930 is: 809,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,698 : 525,930 = 525,930 : x
  2. Step 2: Convert to fraction form
    341,698/525,930 = 525,930/x
  3. Step 3: Cross multiply
    341,698x = 525,930 × 525,930
  4. Step 4: Simplify right side
    341,698x = 276,602,364,900
  5. Step 5: Solve for x
    x = 276,602,364,900/341,698
  6. Step 6: Final answer
    x = 809,493.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.