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Finding the Third Proportional to 282,792 and 594,669

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Solution

The third proportional to 282,792 and 594,669 is: 1,250,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,792 : 594,669 = 594,669 : x
  2. Step 2: Convert to fraction form
    282,792/594,669 = 594,669/x
  3. Step 3: Cross multiply
    282,792x = 594,669 × 594,669
  4. Step 4: Simplify right side
    282,792x = 353,631,219,561
  5. Step 5: Solve for x
    x = 353,631,219,561/282,792
  6. Step 6: Final answer
    x = 1,250,499.38

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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.