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Finding the Third Proportional to 283,045.50 and 428,220

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Solution

The third proportional to 283,045.50 and 428,220 is: 647,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,045.50 : 428,220 = 428,220 : x
  2. Step 2: Convert to fraction form
    283,045.50/428,220 = 428,220/x
  3. Step 3: Cross multiply
    283,045.50x = 428,220 × 428,220
  4. Step 4: Simplify right side
    283,045.50x = 183,372,368,400
  5. Step 5: Solve for x
    x = 183,372,368,400/283,045.50
  6. Step 6: Final answer
    x = 647,854.74

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Why These Related Problems?

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