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Finding the Third Proportional to 430,827.75 and 603,727.50

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Solution

The third proportional to 430,827.75 and 603,727.50 is: 846,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,827.75 : 603,727.50 = 603,727.50 : x
  2. Step 2: Convert to fraction form
    430,827.75/603,727.50 = 603,727.50/x
  3. Step 3: Cross multiply
    430,827.75x = 603,727.50 × 603,727.50
  4. Step 4: Simplify right side
    430,827.75x = 364,486,894,256.25
  5. Step 5: Solve for x
    x = 364,486,894,256.25/430,827.75
  6. Step 6: Final answer
    x = 846,015.36

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Why These Related Problems?

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