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Finding the Third Proportional to 281,961 and 593,487

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Solution

The third proportional to 281,961 and 593,487 is: 1,249,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,961 : 593,487 = 593,487 : x
  2. Step 2: Convert to fraction form
    281,961/593,487 = 593,487/x
  3. Step 3: Cross multiply
    281,961x = 593,487 × 593,487
  4. Step 4: Simplify right side
    281,961x = 352,226,819,169
  5. Step 5: Solve for x
    x = 352,226,819,169/281,961
  6. Step 6: Final answer
    x = 1,249,204.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.