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Finding the Third Proportional to 377,264.25 and 810,708.75

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Solution

The third proportional to 377,264.25 and 810,708.75 is: 1,742,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,264.25 : 810,708.75 = 810,708.75 : x
  2. Step 2: Convert to fraction form
    377,264.25/810,708.75 = 810,708.75/x
  3. Step 3: Cross multiply
    377,264.25x = 810,708.75 × 810,708.75
  4. Step 4: Simplify right side
    377,264.25x = 657,248,677,326.56
  5. Step 5: Solve for x
    x = 657,248,677,326.56/377,264.25
  6. Step 6: Final answer
    x = 1,742,144.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.