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Finding the Third Proportional to 306,531.84 and 459,900.28

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Solution

The third proportional to 306,531.84 and 459,900.28 is: 690,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,531.84 : 459,900.28 = 459,900.28 : x
  2. Step 2: Convert to fraction form
    306,531.84/459,900.28 = 459,900.28/x
  3. Step 3: Cross multiply
    306,531.84x = 459,900.28 × 459,900.28
  4. Step 4: Simplify right side
    306,531.84x = 211,508,268,693.83
  5. Step 5: Solve for x
    x = 211,508,268,693.83/306,531.84
  6. Step 6: Final answer
    x = 690,004.23

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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.