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Finding the Third Proportional to 296,920.69 and 647,427.94

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Solution

The third proportional to 296,920.69 and 647,427.94 is: 1,411,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,920.69 : 647,427.94 = 647,427.94 : x
  2. Step 2: Convert to fraction form
    296,920.69/647,427.94 = 647,427.94/x
  3. Step 3: Cross multiply
    296,920.69x = 647,427.94 × 647,427.94
  4. Step 4: Simplify right side
    296,920.69x = 419,162,934,255.50
  5. Step 5: Solve for x
    x = 419,162,934,255.50/296,920.69
  6. Step 6: Final answer
    x = 1,411,700.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.