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Finding the Third Proportional to 292,938 and 439,408.50

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Solution

The third proportional to 292,938 and 439,408.50 is: 659,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,938 : 439,408.50 = 439,408.50 : x
  2. Step 2: Convert to fraction form
    292,938/439,408.50 = 439,408.50/x
  3. Step 3: Cross multiply
    292,938x = 439,408.50 × 439,408.50
  4. Step 4: Simplify right side
    292,938x = 193,079,829,872.25
  5. Step 5: Solve for x
    x = 193,079,829,872.25/292,938
  6. Step 6: Final answer
    x = 659,115.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.