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Finding the Third Proportional to 282,323 and 602,923

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Solution

The third proportional to 282,323 and 602,923 is: 1,287,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,323 : 602,923 = 602,923 : x
  2. Step 2: Convert to fraction form
    282,323/602,923 = 602,923/x
  3. Step 3: Cross multiply
    282,323x = 602,923 × 602,923
  4. Step 4: Simplify right side
    282,323x = 363,516,143,929
  5. Step 5: Solve for x
    x = 363,516,143,929/282,323
  6. Step 6: Final answer
    x = 1,287,589.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.