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Finding the Third Proportional to 285,351.75 and 524,553.75

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Solution

The third proportional to 285,351.75 and 524,553.75 is: 964,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,351.75 : 524,553.75 = 524,553.75 : x
  2. Step 2: Convert to fraction form
    285,351.75/524,553.75 = 524,553.75/x
  3. Step 3: Cross multiply
    285,351.75x = 524,553.75 × 524,553.75
  4. Step 4: Simplify right side
    285,351.75x = 275,156,636,639.06
  5. Step 5: Solve for x
    x = 275,156,636,639.06/285,351.75
  6. Step 6: Final answer
    x = 964,271.77

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.