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Finding the Third Proportional to 761,720.63 and 1,157,540.63

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Solution

The third proportional to 761,720.63 and 1,157,540.63 is: 1,759,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,720.63 : 1,157,540.63 = 1,157,540.63 : x
  2. Step 2: Convert to fraction form
    761,720.63/1,157,540.63 = 1,157,540.63/x
  3. Step 3: Cross multiply
    761,720.63x = 1,157,540.63 × 1,157,540.63
  4. Step 4: Simplify right side
    761,720.63x = 1,339,900,298,525.39
  5. Step 5: Solve for x
    x = 1,339,900,298,525.39/761,720.63
  6. Step 6: Final answer
    x = 1,759,044.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.