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Finding the Third Proportional to 362,814.19 and 429,517.69

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Solution

The third proportional to 362,814.19 and 429,517.69 is: 508,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,814.19 : 429,517.69 = 429,517.69 : x
  2. Step 2: Convert to fraction form
    362,814.19/429,517.69 = 429,517.69/x
  3. Step 3: Cross multiply
    362,814.19x = 429,517.69 × 429,517.69
  4. Step 4: Simplify right side
    362,814.19x = 184,485,443,875.35
  5. Step 5: Solve for x
    x = 184,485,443,875.35/362,814.19
  6. Step 6: Final answer
    x = 508,484.65

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.