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Finding the Third Proportional to 452,782.41 and 612,743.48

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Solution

The third proportional to 452,782.41 and 612,743.48 is: 829,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,782.41 : 612,743.48 = 612,743.48 : x
  2. Step 2: Convert to fraction form
    452,782.41/612,743.48 = 612,743.48/x
  3. Step 3: Cross multiply
    452,782.41x = 612,743.48 × 612,743.48
  4. Step 4: Simplify right side
    452,782.41x = 375,454,577,644.02
  5. Step 5: Solve for x
    x = 375,454,577,644.02/452,782.41
  6. Step 6: Final answer
    x = 829,216.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.