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Finding the Third Proportional to 546,320.25 and 857,010.38

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Solution

The third proportional to 546,320.25 and 857,010.38 is: 1,344,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,320.25 : 857,010.38 = 857,010.38 : x
  2. Step 2: Convert to fraction form
    546,320.25/857,010.38 = 857,010.38/x
  3. Step 3: Cross multiply
    546,320.25x = 857,010.38 × 857,010.38
  4. Step 4: Simplify right side
    546,320.25x = 734,466,782,857.64
  5. Step 5: Solve for x
    x = 734,466,782,857.64/546,320.25
  6. Step 6: Final answer
    x = 1,344,388.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.