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Finding the Third Proportional to 308,041.42 and 459,498.76

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Solution

The third proportional to 308,041.42 and 459,498.76 is: 685,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,041.42 : 459,498.76 = 459,498.76 : x
  2. Step 2: Convert to fraction form
    308,041.42/459,498.76 = 459,498.76/x
  3. Step 3: Cross multiply
    308,041.42x = 459,498.76 × 459,498.76
  4. Step 4: Simplify right side
    308,041.42x = 211,139,112,021.07
  5. Step 5: Solve for x
    x = 211,139,112,021.07/308,041.42
  6. Step 6: Final answer
    x = 685,424.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.