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Finding the Third Proportional to 351,064.13 and 514,099.41

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Solution

The third proportional to 351,064.13 and 514,099.41 is: 752,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,064.13 : 514,099.41 = 514,099.41 : x
  2. Step 2: Convert to fraction form
    351,064.13/514,099.41 = 514,099.41/x
  3. Step 3: Cross multiply
    351,064.13x = 514,099.41 × 514,099.41
  4. Step 4: Simplify right side
    351,064.13x = 264,298,199,506.60
  5. Step 5: Solve for x
    x = 264,298,199,506.60/351,064.13
  6. Step 6: Final answer
    x = 752,848.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.