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Finding the Third Proportional to 430,839 and 603,725.91

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Solution

The third proportional to 430,839 and 603,725.91 is: 845,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,839 : 603,725.91 = 603,725.91 : x
  2. Step 2: Convert to fraction form
    430,839/603,725.91 = 603,725.91/x
  3. Step 3: Cross multiply
    430,839x = 603,725.91 × 603,725.91
  4. Step 4: Simplify right side
    430,839x = 364,484,969,877.38
  5. Step 5: Solve for x
    x = 364,484,969,877.38/430,839
  6. Step 6: Final answer
    x = 845,988.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.