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Finding the Third Proportional to 282,009 and 577,773

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Solution

The third proportional to 282,009 and 577,773 is: 1,183,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,009 : 577,773 = 577,773 : x
  2. Step 2: Convert to fraction form
    282,009/577,773 = 577,773/x
  3. Step 3: Cross multiply
    282,009x = 577,773 × 577,773
  4. Step 4: Simplify right side
    282,009x = 333,821,639,529
  5. Step 5: Solve for x
    x = 333,821,639,529/282,009
  6. Step 6: Final answer
    x = 1,183,726.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.