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Finding the Third Proportional to 575,397 and 851,940

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Solution

The third proportional to 575,397 and 851,940 is: 1,261,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,397 : 851,940 = 851,940 : x
  2. Step 2: Convert to fraction form
    575,397/851,940 = 851,940/x
  3. Step 3: Cross multiply
    575,397x = 851,940 × 851,940
  4. Step 4: Simplify right side
    575,397x = 725,801,763,600
  5. Step 5: Solve for x
    x = 725,801,763,600/575,397
  6. Step 6: Final answer
    x = 1,261,393.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.