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Finding the Third Proportional to 281,950 and 634,875

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Solution

The third proportional to 281,950 and 634,875 is: 1,429,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,950 : 634,875 = 634,875 : x
  2. Step 2: Convert to fraction form
    281,950/634,875 = 634,875/x
  3. Step 3: Cross multiply
    281,950x = 634,875 × 634,875
  4. Step 4: Simplify right side
    281,950x = 403,066,265,625
  5. Step 5: Solve for x
    x = 403,066,265,625/281,950
  6. Step 6: Final answer
    x = 1,429,566.47

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Why These Related Problems?

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