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Finding the Third Proportional to 294,570 and 430,350

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Solution

The third proportional to 294,570 and 430,350 is: 628,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,570 : 430,350 = 430,350 : x
  2. Step 2: Convert to fraction form
    294,570/430,350 = 430,350/x
  3. Step 3: Cross multiply
    294,570x = 430,350 × 430,350
  4. Step 4: Simplify right side
    294,570x = 185,201,122,500
  5. Step 5: Solve for x
    x = 185,201,122,500/294,570
  6. Step 6: Final answer
    x = 628,716.85

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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.