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Finding the Third Proportional to 281,948 and 634,870

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Solution

The third proportional to 281,948 and 634,870 is: 1,429,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,948 : 634,870 = 634,870 : x
  2. Step 2: Convert to fraction form
    281,948/634,870 = 634,870/x
  3. Step 3: Cross multiply
    281,948x = 634,870 × 634,870
  4. Step 4: Simplify right side
    281,948x = 403,059,916,900
  5. Step 5: Solve for x
    x = 403,059,916,900/281,948
  6. Step 6: Final answer
    x = 1,429,554.09

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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.