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Finding the Third Proportional to 282,743 and 609,769

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Solution

The third proportional to 282,743 and 609,769 is: 1,315,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,743 : 609,769 = 609,769 : x
  2. Step 2: Convert to fraction form
    282,743/609,769 = 609,769/x
  3. Step 3: Cross multiply
    282,743x = 609,769 × 609,769
  4. Step 4: Simplify right side
    282,743x = 371,818,233,361
  5. Step 5: Solve for x
    x = 371,818,233,361/282,743
  6. Step 6: Final answer
    x = 1,315,039.57

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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.