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Finding the Third Proportional to 295,376.63 and 647,934.19

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Solution

The third proportional to 295,376.63 and 647,934.19 is: 1,421,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,376.63 : 647,934.19 = 647,934.19 : x
  2. Step 2: Convert to fraction form
    295,376.63/647,934.19 = 647,934.19/x
  3. Step 3: Cross multiply
    295,376.63x = 647,934.19 × 647,934.19
  4. Step 4: Simplify right side
    295,376.63x = 419,818,711,331.29
  5. Step 5: Solve for x
    x = 419,818,711,331.29/295,376.63
  6. Step 6: Final answer
    x = 1,421,299.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.