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Finding the Third Proportional to 299,166.22 and 459,821.02

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Solution

The third proportional to 299,166.22 and 459,821.02 is: 706,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,166.22 : 459,821.02 = 459,821.02 : x
  2. Step 2: Convert to fraction form
    299,166.22/459,821.02 = 459,821.02/x
  3. Step 3: Cross multiply
    299,166.22x = 459,821.02 × 459,821.02
  4. Step 4: Simplify right side
    299,166.22x = 211,435,371,798.92
  5. Step 5: Solve for x
    x = 211,435,371,798.92/299,166.22
  6. Step 6: Final answer
    x = 706,748.81

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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.