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Finding the Third Proportional to 326,156.63 and 459,300.38

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Solution

The third proportional to 326,156.63 and 459,300.38 is: 646,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,156.63 : 459,300.38 = 459,300.38 : x
  2. Step 2: Convert to fraction form
    326,156.63/459,300.38 = 459,300.38/x
  3. Step 3: Cross multiply
    326,156.63x = 459,300.38 × 459,300.38
  4. Step 4: Simplify right side
    326,156.63x = 210,956,834,475.14
  5. Step 5: Solve for x
    x = 210,956,834,475.14/326,156.63
  6. Step 6: Final answer
    x = 646,796.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.