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Finding the Third Proportional to 286,984.69 and 625,638.94

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Solution

The third proportional to 286,984.69 and 625,638.94 is: 1,363,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,984.69 : 625,638.94 = 625,638.94 : x
  2. Step 2: Convert to fraction form
    286,984.69/625,638.94 = 625,638.94/x
  3. Step 3: Cross multiply
    286,984.69x = 625,638.94 × 625,638.94
  4. Step 4: Simplify right side
    286,984.69x = 391,424,080,116.13
  5. Step 5: Solve for x
    x = 391,424,080,116.13/286,984.69
  6. Step 6: Final answer
    x = 1,363,919.74

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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.