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Finding the Third Proportional to 282,696 and 594,552

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Solution

The third proportional to 282,696 and 594,552 is: 1,250,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696 : 594,552 = 594,552 : x
  2. Step 2: Convert to fraction form
    282,696/594,552 = 594,552/x
  3. Step 3: Cross multiply
    282,696x = 594,552 × 594,552
  4. Step 4: Simplify right side
    282,696x = 353,492,080,704
  5. Step 5: Solve for x
    x = 353,492,080,704/282,696
  6. Step 6: Final answer
    x = 1,250,431.84

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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.