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Finding the Third Proportional to 346,480.88 and 518,308.88

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Solution

The third proportional to 346,480.88 and 518,308.88 is: 775,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,480.88 : 518,308.88 = 518,308.88 : x
  2. Step 2: Convert to fraction form
    346,480.88/518,308.88 = 518,308.88/x
  3. Step 3: Cross multiply
    346,480.88x = 518,308.88 × 518,308.88
  4. Step 4: Simplify right side
    346,480.88x = 268,644,089,903.77
  5. Step 5: Solve for x
    x = 268,644,089,903.77/346,480.88
  6. Step 6: Final answer
    x = 775,350.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.