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Finding the Third Proportional to 432,220.50 and 634,317.75

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Solution

The third proportional to 432,220.50 and 634,317.75 is: 930,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,220.50 : 634,317.75 = 634,317.75 : x
  2. Step 2: Convert to fraction form
    432,220.50/634,317.75 = 634,317.75/x
  3. Step 3: Cross multiply
    432,220.50x = 634,317.75 × 634,317.75
  4. Step 4: Simplify right side
    432,220.50x = 402,359,007,965.06
  5. Step 5: Solve for x
    x = 402,359,007,965.06/432,220.50
  6. Step 6: Final answer
    x = 930,911.44

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.