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Finding the Third Proportional to 299,089.13 and 459,720.75

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Solution

The third proportional to 299,089.13 and 459,720.75 is: 706,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089.13 : 459,720.75 = 459,720.75 : x
  2. Step 2: Convert to fraction form
    299,089.13/459,720.75 = 459,720.75/x
  3. Step 3: Cross multiply
    299,089.13x = 459,720.75 × 459,720.75
  4. Step 4: Simplify right side
    299,089.13x = 211,343,167,980.56
  5. Step 5: Solve for x
    x = 211,343,167,980.56/299,089.13
  6. Step 6: Final answer
    x = 706,622.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.