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Finding the Third Proportional to 400,646.50 and 619,531.50

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Solution

The third proportional to 400,646.50 and 619,531.50 is: 957,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,646.50 : 619,531.50 = 619,531.50 : x
  2. Step 2: Convert to fraction form
    400,646.50/619,531.50 = 619,531.50/x
  3. Step 3: Cross multiply
    400,646.50x = 619,531.50 × 619,531.50
  4. Step 4: Simplify right side
    400,646.50x = 383,819,279,492.25
  5. Step 5: Solve for x
    x = 383,819,279,492.25/400,646.50
  6. Step 6: Final answer
    x = 957,999.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.