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Finding the Third Proportional to 281,030 and 411,017

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Solution

The third proportional to 281,030 and 411,017 is: 601,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,030 : 411,017 = 411,017 : x
  2. Step 2: Convert to fraction form
    281,030/411,017 = 411,017/x
  3. Step 3: Cross multiply
    281,030x = 411,017 × 411,017
  4. Step 4: Simplify right side
    281,030x = 168,934,974,289
  5. Step 5: Solve for x
    x = 168,934,974,289/281,030
  6. Step 6: Final answer
    x = 601,127.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.