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Finding the Third Proportional to 535,319 and 788,189

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Solution

The third proportional to 535,319 and 788,189 is: 1,160,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,319 : 788,189 = 788,189 : x
  2. Step 2: Convert to fraction form
    535,319/788,189 = 788,189/x
  3. Step 3: Cross multiply
    535,319x = 788,189 × 788,189
  4. Step 4: Simplify right side
    535,319x = 621,241,899,721
  5. Step 5: Solve for x
    x = 621,241,899,721/535,319
  6. Step 6: Final answer
    x = 1,160,507.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.