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Finding the Third Proportional to 284,206.50 and 429,255

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Solution

The third proportional to 284,206.50 and 429,255 is: 648,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,206.50 : 429,255 = 429,255 : x
  2. Step 2: Convert to fraction form
    284,206.50/429,255 = 429,255/x
  3. Step 3: Cross multiply
    284,206.50x = 429,255 × 429,255
  4. Step 4: Simplify right side
    284,206.50x = 184,259,855,025
  5. Step 5: Solve for x
    x = 184,259,855,025/284,206.50
  6. Step 6: Final answer
    x = 648,330.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.