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Finding the Third Proportional to 302,982 and 652,476

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Solution

The third proportional to 302,982 and 652,476 is: 1,405,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,982 : 652,476 = 652,476 : x
  2. Step 2: Convert to fraction form
    302,982/652,476 = 652,476/x
  3. Step 3: Cross multiply
    302,982x = 652,476 × 652,476
  4. Step 4: Simplify right side
    302,982x = 425,724,930,576
  5. Step 5: Solve for x
    x = 425,724,930,576/302,982
  6. Step 6: Final answer
    x = 1,405,116.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.