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Finding the Third Proportional to 282,824 and 609,928

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Solution

The third proportional to 282,824 and 609,928 is: 1,315,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,824 : 609,928 = 609,928 : x
  2. Step 2: Convert to fraction form
    282,824/609,928 = 609,928/x
  3. Step 3: Cross multiply
    282,824x = 609,928 × 609,928
  4. Step 4: Simplify right side
    282,824x = 372,012,165,184
  5. Step 5: Solve for x
    x = 372,012,165,184/282,824
  6. Step 6: Final answer
    x = 1,315,348.65

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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.