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Finding the Third Proportional to 294,318 and 455,625

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Solution

The third proportional to 294,318 and 455,625 is: 705,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,318 : 455,625 = 455,625 : x
  2. Step 2: Convert to fraction form
    294,318/455,625 = 455,625/x
  3. Step 3: Cross multiply
    294,318x = 455,625 × 455,625
  4. Step 4: Simplify right side
    294,318x = 207,594,140,625
  5. Step 5: Solve for x
    x = 207,594,140,625/294,318
  6. Step 6: Final answer
    x = 705,339.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.