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Finding the Third Proportional to 525,657 and 798,873

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Solution

The third proportional to 525,657 and 798,873 is: 1,214,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,657 : 798,873 = 798,873 : x
  2. Step 2: Convert to fraction form
    525,657/798,873 = 798,873/x
  3. Step 3: Cross multiply
    525,657x = 798,873 × 798,873
  4. Step 4: Simplify right side
    525,657x = 638,198,070,129
  5. Step 5: Solve for x
    x = 638,198,070,129/525,657
  6. Step 6: Final answer
    x = 1,214,096.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.