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Finding the Third Proportional to 302,522 and 636,004

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Solution

The third proportional to 302,522 and 636,004 is: 1,337,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,522 : 636,004 = 636,004 : x
  2. Step 2: Convert to fraction form
    302,522/636,004 = 636,004/x
  3. Step 3: Cross multiply
    302,522x = 636,004 × 636,004
  4. Step 4: Simplify right side
    302,522x = 404,501,088,016
  5. Step 5: Solve for x
    x = 404,501,088,016/302,522
  6. Step 6: Final answer
    x = 1,337,096.44

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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.