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Finding the Third Proportional to 634,072.50 and 1,290,282

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Solution

The third proportional to 634,072.50 and 1,290,282 is: 2,625,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,072.50 : 1,290,282 = 1,290,282 : x
  2. Step 2: Convert to fraction form
    634,072.50/1,290,282 = 1,290,282/x
  3. Step 3: Cross multiply
    634,072.50x = 1,290,282 × 1,290,282
  4. Step 4: Simplify right side
    634,072.50x = 1,664,827,639,524
  5. Step 5: Solve for x
    x = 1,664,827,639,524/634,072.50
  6. Step 6: Final answer
    x = 2,625,610.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.