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Finding the Third Proportional to 282,830 and 609,937

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Solution

The third proportional to 282,830 and 609,937 is: 1,315,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,830 : 609,937 = 609,937 : x
  2. Step 2: Convert to fraction form
    282,830/609,937 = 609,937/x
  3. Step 3: Cross multiply
    282,830x = 609,937 × 609,937
  4. Step 4: Simplify right side
    282,830x = 372,023,143,969
  5. Step 5: Solve for x
    x = 372,023,143,969/282,830
  6. Step 6: Final answer
    x = 1,315,359.56

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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.