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Finding the Third Proportional to 281,946 and 634,867.50

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Solution

The third proportional to 281,946 and 634,867.50 is: 1,429,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,946 : 634,867.50 = 634,867.50 : x
  2. Step 2: Convert to fraction form
    281,946/634,867.50 = 634,867.50/x
  3. Step 3: Cross multiply
    281,946x = 634,867.50 × 634,867.50
  4. Step 4: Simplify right side
    281,946x = 403,056,742,556.25
  5. Step 5: Solve for x
    x = 403,056,742,556.25/281,946
  6. Step 6: Final answer
    x = 1,429,552.97

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.