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Finding the Third Proportional to 282,772 and 609,816

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Solution

The third proportional to 282,772 and 609,816 is: 1,315,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,772 : 609,816 = 609,816 : x
  2. Step 2: Convert to fraction form
    282,772/609,816 = 609,816/x
  3. Step 3: Cross multiply
    282,772x = 609,816 × 609,816
  4. Step 4: Simplify right side
    282,772x = 371,875,553,856
  5. Step 5: Solve for x
    x = 371,875,553,856/282,772
  6. Step 6: Final answer
    x = 1,315,107.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.