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Finding the Third Proportional to 282,786 and 594,657

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Solution

The third proportional to 282,786 and 594,657 is: 1,250,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,786 : 594,657 = 594,657 : x
  2. Step 2: Convert to fraction form
    282,786/594,657 = 594,657/x
  3. Step 3: Cross multiply
    282,786x = 594,657 × 594,657
  4. Step 4: Simplify right side
    282,786x = 353,616,947,649
  5. Step 5: Solve for x
    x = 353,616,947,649/282,786
  6. Step 6: Final answer
    x = 1,250,475.44

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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.