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Finding the Third Proportional to 302,520 and 636,000

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Solution

The third proportional to 302,520 and 636,000 is: 1,337,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,520 : 636,000 = 636,000 : x
  2. Step 2: Convert to fraction form
    302,520/636,000 = 636,000/x
  3. Step 3: Cross multiply
    302,520x = 636,000 × 636,000
  4. Step 4: Simplify right side
    302,520x = 404,496,000,000
  5. Step 5: Solve for x
    x = 404,496,000,000/302,520
  6. Step 6: Final answer
    x = 1,337,088.46

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