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Finding the Third Proportional to 375,774 and 788,475

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Solution

The third proportional to 375,774 and 788,475 is: 1,654,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,774 : 788,475 = 788,475 : x
  2. Step 2: Convert to fraction form
    375,774/788,475 = 788,475/x
  3. Step 3: Cross multiply
    375,774x = 788,475 × 788,475
  4. Step 4: Simplify right side
    375,774x = 621,692,825,625
  5. Step 5: Solve for x
    x = 621,692,825,625/375,774
  6. Step 6: Final answer
    x = 1,654,432.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.