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Finding the Third Proportional to 482,677.50 and 634,719

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Solution

The third proportional to 482,677.50 and 634,719 is: 834,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,677.50 : 634,719 = 634,719 : x
  2. Step 2: Convert to fraction form
    482,677.50/634,719 = 634,719/x
  3. Step 3: Cross multiply
    482,677.50x = 634,719 × 634,719
  4. Step 4: Simplify right side
    482,677.50x = 402,868,208,961
  5. Step 5: Solve for x
    x = 402,868,208,961/482,677.50
  6. Step 6: Final answer
    x = 834,652.97

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.