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Finding the Third Proportional to 451,154 and 634,764.50

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Solution

The third proportional to 451,154 and 634,764.50 is: 893,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,154 : 634,764.50 = 634,764.50 : x
  2. Step 2: Convert to fraction form
    451,154/634,764.50 = 634,764.50/x
  3. Step 3: Cross multiply
    451,154x = 634,764.50 × 634,764.50
  4. Step 4: Simplify right side
    451,154x = 402,925,970,460.25
  5. Step 5: Solve for x
    x = 402,925,970,460.25/451,154
  6. Step 6: Final answer
    x = 893,100.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.