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Finding the Third Proportional to 641,860.88 and 897,314.63

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Solution

The third proportional to 641,860.88 and 897,314.63 is: 1,254,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,860.88 : 897,314.63 = 897,314.63 : x
  2. Step 2: Convert to fraction form
    641,860.88/897,314.63 = 897,314.63/x
  3. Step 3: Cross multiply
    641,860.88x = 897,314.63 × 897,314.63
  4. Step 4: Simplify right side
    641,860.88x = 805,173,536,238.89
  5. Step 5: Solve for x
    x = 805,173,536,238.89/641,860.88
  6. Step 6: Final answer
    x = 1,254,436.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.