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Finding the Third Proportional to 282,933 and 609,957

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Solution

The third proportional to 282,933 and 609,957 is: 1,314,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,933 : 609,957 = 609,957 : x
  2. Step 2: Convert to fraction form
    282,933/609,957 = 609,957/x
  3. Step 3: Cross multiply
    282,933x = 609,957 × 609,957
  4. Step 4: Simplify right side
    282,933x = 372,047,541,849
  5. Step 5: Solve for x
    x = 372,047,541,849/282,933
  6. Step 6: Final answer
    x = 1,314,966.94

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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.