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Finding the Third Proportional to 482,653 and 634,690.50

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Solution

The third proportional to 482,653 and 634,690.50 is: 834,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,653 : 634,690.50 = 634,690.50 : x
  2. Step 2: Convert to fraction form
    482,653/634,690.50 = 634,690.50/x
  3. Step 3: Cross multiply
    482,653x = 634,690.50 × 634,690.50
  4. Step 4: Simplify right side
    482,653x = 402,832,030,790.25
  5. Step 5: Solve for x
    x = 402,832,030,790.25/482,653
  6. Step 6: Final answer
    x = 834,620.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.